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Finding the Third Proportional to 75,814,650 and 116,459,613

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Solution

The third proportional to 75,814,650 and 116,459,613 is: 178,894,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814,650 : 116,459,613 = 116,459,613 : x
  2. Step 2: Convert to fraction form
    75,814,650/116,459,613 = 116,459,613/x
  3. Step 3: Cross multiply
    75,814,650x = 116,459,613 × 116,459,613
  4. Step 4: Simplify right side
    75,814,650x = 13,562,841,460,109,768
  5. Step 5: Solve for x
    x = 13,562,841,460,109,768/75,814,650
  6. Step 6: Final answer
    x = 178,894,731.56

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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.