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Finding the Third Proportional to 285,653,143.13 and 402,262,571.25

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Solution

The third proportional to 285,653,143.13 and 402,262,571.25 is: 566,474,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653,143.13 : 402,262,571.25 = 402,262,571.25 : x
  2. Step 2: Convert to fraction form
    285,653,143.13/402,262,571.25 = 402,262,571.25/x
  3. Step 3: Cross multiply
    285,653,143.13x = 402,262,571.25 × 402,262,571.25
  4. Step 4: Simplify right side
    285,653,143.13x = 161,815,176,228,661,312
  5. Step 5: Solve for x
    x = 161,815,176,228,661,312/285,653,143.13
  6. Step 6: Final answer
    x = 566,474,341.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.