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Finding the Third Proportional to 65,114,304 and 141,550,466

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Solution

The third proportional to 65,114,304 and 141,550,466 is: 307,713,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114,304 : 141,550,466 = 141,550,466 : x
  2. Step 2: Convert to fraction form
    65,114,304/141,550,466 = 141,550,466/x
  3. Step 3: Cross multiply
    65,114,304x = 141,550,466 × 141,550,466
  4. Step 4: Simplify right side
    65,114,304x = 20,036,534,424,817,156
  5. Step 5: Solve for x
    x = 20,036,534,424,817,156/65,114,304
  6. Step 6: Final answer
    x = 307,713,254.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.