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Finding the Third Proportional to 200,841,456.50 and 310,216,186

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Solution

The third proportional to 200,841,456.50 and 310,216,186 is: 479,154,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841,456.50 : 310,216,186 = 310,216,186 : x
  2. Step 2: Convert to fraction form
    200,841,456.50/310,216,186 = 310,216,186/x
  3. Step 3: Cross multiply
    200,841,456.50x = 310,216,186 × 310,216,186
  4. Step 4: Simplify right side
    200,841,456.50x = 96,234,082,056,386,592
  5. Step 5: Solve for x
    x = 96,234,082,056,386,592/200,841,456.50
  6. Step 6: Final answer
    x = 479,154,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.