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Finding the Third Proportional to 82,669,537 and 136,124,112

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Solution

The third proportional to 82,669,537 and 136,124,112 is: 224,142,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,669,537 : 136,124,112 = 136,124,112 : x
  2. Step 2: Convert to fraction form
    82,669,537/136,124,112 = 136,124,112/x
  3. Step 3: Cross multiply
    82,669,537x = 136,124,112 × 136,124,112
  4. Step 4: Simplify right side
    82,669,537x = 18,529,773,867,788,544
  5. Step 5: Solve for x
    x = 18,529,773,867,788,544/82,669,537
  6. Step 6: Final answer
    x = 224,142,707.70

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.