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Finding the Third Proportional to 84,725,764 and 130,922,909

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Solution

The third proportional to 84,725,764 and 130,922,909 is: 202,309,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,725,764 : 130,922,909 = 130,922,909 : x
  2. Step 2: Convert to fraction form
    84,725,764/130,922,909 = 130,922,909/x
  3. Step 3: Cross multiply
    84,725,764x = 130,922,909 × 130,922,909
  4. Step 4: Simplify right side
    84,725,764x = 17,140,808,101,022,280
  5. Step 5: Solve for x
    x = 17,140,808,101,022,280/84,725,764
  6. Step 6: Final answer
    x = 202,309,277.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.