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Finding the Third Proportional to 243,355,357.50 and 371,162,470.50

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Solution

The third proportional to 243,355,357.50 and 371,162,470.50 is: 566,092,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,355,357.50 : 371,162,470.50 = 371,162,470.50 : x
  2. Step 2: Convert to fraction form
    243,355,357.50/371,162,470.50 = 371,162,470.50/x
  3. Step 3: Cross multiply
    243,355,357.50x = 371,162,470.50 × 371,162,470.50
  4. Step 4: Simplify right side
    243,355,357.50x = 137,761,579,507,663,376
  5. Step 5: Solve for x
    x = 137,761,579,507,663,376/243,355,357.50
  6. Step 6: Final answer
    x = 566,092,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.