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Finding the Third Proportional to 85,287,390 and 124,732,590.75

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Solution

The third proportional to 85,287,390 and 124,732,590.75 is: 182,421,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,287,390 : 124,732,590.75 = 124,732,590.75 : x
  2. Step 2: Convert to fraction form
    85,287,390/124,732,590.75 = 124,732,590.75/x
  3. Step 3: Cross multiply
    85,287,390x = 124,732,590.75 × 124,732,590.75
  4. Step 4: Simplify right side
    85,287,390x = 15,558,219,195,206,986
  5. Step 5: Solve for x
    x = 15,558,219,195,206,986/85,287,390
  6. Step 6: Final answer
    x = 182,421,096.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.