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Finding the Third Proportional to 181,569,466 and 376,058,498

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Solution

The third proportional to 181,569,466 and 376,058,498 is: 778,875,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,466 : 376,058,498 = 376,058,498 : x
  2. Step 2: Convert to fraction form
    181,569,466/376,058,498 = 376,058,498/x
  3. Step 3: Cross multiply
    181,569,466x = 376,058,498 × 376,058,498
  4. Step 4: Simplify right side
    181,569,466x = 141,419,993,918,016,000
  5. Step 5: Solve for x
    x = 141,419,993,918,016,000/181,569,466
  6. Step 6: Final answer
    x = 778,875,419.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.