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Finding the Third Proportional to 129,472,951.50 and 277,413,457.50

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Solution

The third proportional to 129,472,951.50 and 277,413,457.50 is: 594,396,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472,951.50 : 277,413,457.50 = 277,413,457.50 : x
  2. Step 2: Convert to fraction form
    129,472,951.50/277,413,457.50 = 277,413,457.50/x
  3. Step 3: Cross multiply
    129,472,951.50x = 277,413,457.50 × 277,413,457.50
  4. Step 4: Simplify right side
    129,472,951.50x = 76,958,226,402,104,304
  5. Step 5: Solve for x
    x = 76,958,226,402,104,304/129,472,951.50
  6. Step 6: Final answer
    x = 594,396,169.32

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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.