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Finding the Third Proportional to 146,359,374 and 200,686,428

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Solution

The third proportional to 146,359,374 and 200,686,428 is: 275,179,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,359,374 : 200,686,428 = 200,686,428 : x
  2. Step 2: Convert to fraction form
    146,359,374/200,686,428 = 200,686,428/x
  3. Step 3: Cross multiply
    146,359,374x = 200,686,428 × 200,686,428
  4. Step 4: Simplify right side
    146,359,374x = 40,275,042,383,399,184
  5. Step 5: Solve for x
    x = 40,275,042,383,399,184/146,359,374
  6. Step 6: Final answer
    x = 275,179,110.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.