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Finding the Third Proportional to 185,266,217 and 272,510,557

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Solution

The third proportional to 185,266,217 and 272,510,557 is: 400,839,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,266,217 : 272,510,557 = 272,510,557 : x
  2. Step 2: Convert to fraction form
    185,266,217/272,510,557 = 272,510,557/x
  3. Step 3: Cross multiply
    185,266,217x = 272,510,557 × 272,510,557
  4. Step 4: Simplify right side
    185,266,217x = 74,262,003,676,450,256
  5. Step 5: Solve for x
    x = 74,262,003,676,450,256/185,266,217
  6. Step 6: Final answer
    x = 400,839,423.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.