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Finding the Third Proportional to 114,251,010 and 174,053,511

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Solution

The third proportional to 114,251,010 and 174,053,511 is: 265,158,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251,010 : 174,053,511 = 174,053,511 : x
  2. Step 2: Convert to fraction form
    114,251,010/174,053,511 = 174,053,511/x
  3. Step 3: Cross multiply
    114,251,010x = 174,053,511 × 174,053,511
  4. Step 4: Simplify right side
    114,251,010x = 30,294,624,691,427,120
  5. Step 5: Solve for x
    x = 30,294,624,691,427,120/114,251,010
  6. Step 6: Final answer
    x = 265,158,484.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.