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Finding the Third Proportional to 110,071,408 and 237,378,320

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Solution

The third proportional to 110,071,408 and 237,378,320 is: 511,926,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,071,408 : 237,378,320 = 237,378,320 : x
  2. Step 2: Convert to fraction form
    110,071,408/237,378,320 = 237,378,320/x
  3. Step 3: Cross multiply
    110,071,408x = 237,378,320 × 237,378,320
  4. Step 4: Simplify right side
    110,071,408x = 56,348,466,806,022,400
  5. Step 5: Solve for x
    x = 56,348,466,806,022,400/110,071,408
  6. Step 6: Final answer
    x = 511,926,465.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.