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Finding the Third Proportional to 115,046,432 and 155,485,774.50

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Solution

The third proportional to 115,046,432 and 155,485,774.50 is: 210,139,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046,432 : 155,485,774.50 = 155,485,774.50 : x
  2. Step 2: Convert to fraction form
    115,046,432/155,485,774.50 = 155,485,774.50/x
  3. Step 3: Cross multiply
    115,046,432x = 155,485,774.50 × 155,485,774.50
  4. Step 4: Simplify right side
    115,046,432x = 24,175,826,071,864,852
  5. Step 5: Solve for x
    x = 24,175,826,071,864,852/115,046,432
  6. Step 6: Final answer
    x = 210,139,729.25

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Why These Related Problems?

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