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Finding the Third Proportional to 115,046,414 and 155,485,748

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Solution

The third proportional to 115,046,414 and 155,485,748 is: 210,139,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046,414 : 155,485,748 = 155,485,748 : x
  2. Step 2: Convert to fraction form
    115,046,414/155,485,748 = 155,485,748/x
  3. Step 3: Cross multiply
    115,046,414x = 155,485,748 × 155,485,748
  4. Step 4: Simplify right side
    115,046,414x = 24,175,817,831,119,504
  5. Step 5: Solve for x
    x = 24,175,817,831,119,504/115,046,414
  6. Step 6: Final answer
    x = 210,139,690.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.