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Finding the Third Proportional to 204,287,416.17 and 286,655,685.54

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Solution

The third proportional to 204,287,416.17 and 286,655,685.54 is: 402,234,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287,416.17 : 286,655,685.54 = 286,655,685.54 : x
  2. Step 2: Convert to fraction form
    204,287,416.17/286,655,685.54 = 286,655,685.54/x
  3. Step 3: Cross multiply
    204,287,416.17x = 286,655,685.54 × 286,655,685.54
  4. Step 4: Simplify right side
    204,287,416.17x = 82,171,482,051,868,448
  5. Step 5: Solve for x
    x = 82,171,482,051,868,448/204,287,416.17
  6. Step 6: Final answer
    x = 402,234,673.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.