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Finding the Third Proportional to 182,982,918.38 and 278,762,765.63

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Solution

The third proportional to 182,982,918.38 and 278,762,765.63 is: 424,677,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,982,918.38 : 278,762,765.63 = 278,762,765.63 : x
  2. Step 2: Convert to fraction form
    182,982,918.38/278,762,765.63 = 278,762,765.63/x
  3. Step 3: Cross multiply
    182,982,918.38x = 278,762,765.63 × 278,762,765.63
  4. Step 4: Simplify right side
    182,982,918.38x = 77,708,679,498,898,688
  5. Step 5: Solve for x
    x = 77,708,679,498,898,688/182,982,918.38
  6. Step 6: Final answer
    x = 424,677,233.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.