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Finding the Third Proportional to 75,155,712 and 115,159,680

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Solution

The third proportional to 75,155,712 and 115,159,680 is: 176,457,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,155,712 : 115,159,680 = 115,159,680 : x
  2. Step 2: Convert to fraction form
    75,155,712/115,159,680 = 115,159,680/x
  3. Step 3: Cross multiply
    75,155,712x = 115,159,680 × 115,159,680
  4. Step 4: Simplify right side
    75,155,712x = 13,261,751,897,702,400
  5. Step 5: Solve for x
    x = 13,261,751,897,702,400/75,155,712
  6. Step 6: Final answer
    x = 176,457,005.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.