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Finding the Third Proportional to 83,459,748 and 127,667,973

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Solution

The third proportional to 83,459,748 and 127,667,973 is: 195,293,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459,748 : 127,667,973 = 127,667,973 : x
  2. Step 2: Convert to fraction form
    83,459,748/127,667,973 = 127,667,973/x
  3. Step 3: Cross multiply
    83,459,748x = 127,667,973 × 127,667,973
  4. Step 4: Simplify right side
    83,459,748x = 16,299,111,329,928,728
  5. Step 5: Solve for x
    x = 16,299,111,329,928,728/83,459,748
  6. Step 6: Final answer
    x = 195,293,081.04

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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.