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Finding the Third Proportional to 76,153,637 and 116,016,020

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Solution

The third proportional to 76,153,637 and 116,016,020 is: 176,744,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153,637 : 116,016,020 = 116,016,020 : x
  2. Step 2: Convert to fraction form
    76,153,637/116,016,020 = 116,016,020/x
  3. Step 3: Cross multiply
    76,153,637x = 116,016,020 × 116,016,020
  4. Step 4: Simplify right side
    76,153,637x = 13,459,716,896,640,400
  5. Step 5: Solve for x
    x = 13,459,716,896,640,400/76,153,637
  6. Step 6: Final answer
    x = 176,744,242.65

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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.