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Finding the Third Proportional to 100,056,178.13 and 216,813,564

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Solution

The third proportional to 100,056,178.13 and 216,813,564 is: 469,817,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056,178.13 : 216,813,564 = 216,813,564 : x
  2. Step 2: Convert to fraction form
    100,056,178.13/216,813,564 = 216,813,564/x
  3. Step 3: Cross multiply
    100,056,178.13x = 216,813,564 × 216,813,564
  4. Step 4: Simplify right side
    100,056,178.13x = 47,008,121,534,382,096
  5. Step 5: Solve for x
    x = 47,008,121,534,382,096/100,056,178.13
  6. Step 6: Final answer
    x = 469,817,280.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.