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Finding the Third Proportional to 204,657,428 and 314,890,710

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Solution

The third proportional to 204,657,428 and 314,890,710 is: 484,498,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657,428 : 314,890,710 = 314,890,710 : x
  2. Step 2: Convert to fraction form
    204,657,428/314,890,710 = 314,890,710/x
  3. Step 3: Cross multiply
    204,657,428x = 314,890,710 × 314,890,710
  4. Step 4: Simplify right side
    204,657,428x = 99,156,159,244,304,096
  5. Step 5: Solve for x
    x = 99,156,159,244,304,096/204,657,428
  6. Step 6: Final answer
    x = 484,498,218.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.