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Finding the Third Proportional to 66,885,023 and 103,371,231

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Solution

The third proportional to 66,885,023 and 103,371,231 is: 159,760,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,885,023 : 103,371,231 = 103,371,231 : x
  2. Step 2: Convert to fraction form
    66,885,023/103,371,231 = 103,371,231/x
  3. Step 3: Cross multiply
    66,885,023x = 103,371,231 × 103,371,231
  4. Step 4: Simplify right side
    66,885,023x = 10,685,611,398,455,360
  5. Step 5: Solve for x
    x = 10,685,611,398,455,360/66,885,023
  6. Step 6: Final answer
    x = 159,760,898.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.