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Finding the Third Proportional to 127,904,815.13 and 281,312,956.13

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Solution

The third proportional to 127,904,815.13 and 281,312,956.13 is: 618,717,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,904,815.13 : 281,312,956.13 = 281,312,956.13 : x
  2. Step 2: Convert to fraction form
    127,904,815.13/281,312,956.13 = 281,312,956.13/x
  3. Step 3: Cross multiply
    127,904,815.13x = 281,312,956.13 × 281,312,956.13
  4. Step 4: Simplify right side
    127,904,815.13x = 79,136,979,283,786,176
  5. Step 5: Solve for x
    x = 79,136,979,283,786,176/127,904,815.13
  6. Step 6: Final answer
    x = 618,717,748.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.