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Finding the Third Proportional to 106,493,650 and 152,182,195

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Solution

The third proportional to 106,493,650 and 152,182,195 is: 217,472,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493,650 : 152,182,195 = 152,182,195 : x
  2. Step 2: Convert to fraction form
    106,493,650/152,182,195 = 152,182,195/x
  3. Step 3: Cross multiply
    106,493,650x = 152,182,195 × 152,182,195
  4. Step 4: Simplify right side
    106,493,650x = 23,159,420,475,018,024
  5. Step 5: Solve for x
    x = 23,159,420,475,018,024/106,493,650
  6. Step 6: Final answer
    x = 217,472,313.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.