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Finding the Third Proportional to 95,074,780.50 and 208,376,017.50

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Solution

The third proportional to 95,074,780.50 and 208,376,017.50 is: 456,699,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,074,780.50 : 208,376,017.50 = 208,376,017.50 : x
  2. Step 2: Convert to fraction form
    95,074,780.50/208,376,017.50 = 208,376,017.50/x
  3. Step 3: Cross multiply
    95,074,780.50x = 208,376,017.50 × 208,376,017.50
  4. Step 4: Simplify right side
    95,074,780.50x = 43,420,564,669,160,304
  5. Step 5: Solve for x
    x = 43,420,564,669,160,304/95,074,780.50
  6. Step 6: Final answer
    x = 456,699,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.