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Finding the Third Proportional to 114,251,020 and 174,053,524

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Solution

The third proportional to 114,251,020 and 174,053,524 is: 265,158,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251,020 : 174,053,524 = 174,053,524 : x
  2. Step 2: Convert to fraction form
    114,251,020/174,053,524 = 174,053,524/x
  3. Step 3: Cross multiply
    114,251,020x = 174,053,524 × 174,053,524
  4. Step 4: Simplify right side
    114,251,020x = 30,294,629,216,818,576
  5. Step 5: Solve for x
    x = 30,294,629,216,818,576/114,251,020
  6. Step 6: Final answer
    x = 265,158,501.14

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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.