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Finding the Third Proportional to 110,417,850 and 232,258,400

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Solution

The third proportional to 110,417,850 and 232,258,400 is: 488,543,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,417,850 : 232,258,400 = 232,258,400 : x
  2. Step 2: Convert to fraction form
    110,417,850/232,258,400 = 232,258,400/x
  3. Step 3: Cross multiply
    110,417,850x = 232,258,400 × 232,258,400
  4. Step 4: Simplify right side
    110,417,850x = 53,943,964,370,560,000
  5. Step 5: Solve for x
    x = 53,943,964,370,560,000/110,417,850
  6. Step 6: Final answer
    x = 488,543,875.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.