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Finding the Third Proportional to 195,573,878.50 and 414,464,730.50

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Solution

The third proportional to 195,573,878.50 and 414,464,730.50 is: 878,343,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,573,878.50 : 414,464,730.50 = 414,464,730.50 : x
  2. Step 2: Convert to fraction form
    195,573,878.50/414,464,730.50 = 414,464,730.50/x
  3. Step 3: Cross multiply
    195,573,878.50x = 414,464,730.50 × 414,464,730.50
  4. Step 4: Simplify right side
    195,573,878.50x = 171,781,012,828,437,632
  5. Step 5: Solve for x
    x = 171,781,012,828,437,632/195,573,878.50
  6. Step 6: Final answer
    x = 878,343,335.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.