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Finding the Third Proportional to 187,844,306 and 409,036,528

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Solution

The third proportional to 187,844,306 and 409,036,528 is: 890,689,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,844,306 : 409,036,528 = 409,036,528 : x
  2. Step 2: Convert to fraction form
    187,844,306/409,036,528 = 409,036,528/x
  3. Step 3: Cross multiply
    187,844,306x = 409,036,528 × 409,036,528
  4. Step 4: Simplify right side
    187,844,306x = 167,310,881,238,294,784
  5. Step 5: Solve for x
    x = 167,310,881,238,294,784/187,844,306
  6. Step 6: Final answer
    x = 890,689,128.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.