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Finding the Third Proportional to 77,653,209.38 and 172,544,326.13

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Solution

The third proportional to 77,653,209.38 and 172,544,326.13 is: 383,391,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653,209.38 : 172,544,326.13 = 172,544,326.13 : x
  2. Step 2: Convert to fraction form
    77,653,209.38/172,544,326.13 = 172,544,326.13/x
  3. Step 3: Cross multiply
    77,653,209.38x = 172,544,326.13 × 172,544,326.13
  4. Step 4: Simplify right side
    77,653,209.38x = 29,771,544,477,930,356
  5. Step 5: Solve for x
    x = 29,771,544,477,930,356/77,653,209.38
  6. Step 6: Final answer
    x = 383,391,037.12

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.