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Finding the Third Proportional to 76,153,650 and 116,016,040

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Solution

The third proportional to 76,153,650 and 116,016,040 is: 176,744,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153,650 : 116,016,040 = 116,016,040 : x
  2. Step 2: Convert to fraction form
    76,153,650/116,016,040 = 116,016,040/x
  3. Step 3: Cross multiply
    76,153,650x = 116,016,040 × 116,016,040
  4. Step 4: Simplify right side
    76,153,650x = 13,459,721,537,281,600
  5. Step 5: Solve for x
    x = 13,459,721,537,281,600/76,153,650
  6. Step 6: Final answer
    x = 176,744,273.42

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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.