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Finding the Third Proportional to 145,657,296 and 312,090,592.50

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Solution

The third proportional to 145,657,296 and 312,090,592.50 is: 668,696,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,296 : 312,090,592.50 = 312,090,592.50 : x
  2. Step 2: Convert to fraction form
    145,657,296/312,090,592.50 = 312,090,592.50/x
  3. Step 3: Cross multiply
    145,657,296x = 312,090,592.50 × 312,090,592.50
  4. Step 4: Simplify right side
    145,657,296x = 97,400,537,927,001,056
  5. Step 5: Solve for x
    x = 97,400,537,927,001,056/145,657,296
  6. Step 6: Final answer
    x = 668,696,595.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.