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Finding the Third Proportional to 145,454,316,891.50 and 339,846,915,953.50

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Solution

The third proportional to 145,454,316,891.50 and 339,846,915,953.50 is: 794,035,740,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,454,316,891.50 : 339,846,915,953.50 = 339,846,915,953.50 : x
  2. Step 2: Convert to fraction form
    145,454,316,891.50/339,846,915,953.50 = 339,846,915,953.50/x
  3. Step 3: Cross multiply
    145,454,316,891.50x = 339,846,915,953.50 × 339,846,915,953.50
  4. Step 4: Simplify right side
    145,454,316,891.50x = 115,495,926,283,105,298,546,688
  5. Step 5: Solve for x
    x = 115,495,926,283,105,298,546,688/145,454,316,891.50
  6. Step 6: Final answer
    x = 794,035,740,921.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.