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Finding the Third Proportional to 130,225,698 and 201,550,725

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Solution

The third proportional to 130,225,698 and 201,550,725 is: 311,940,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,225,698 : 201,550,725 = 201,550,725 : x
  2. Step 2: Convert to fraction form
    130,225,698/201,550,725 = 201,550,725/x
  3. Step 3: Cross multiply
    130,225,698x = 201,550,725 × 201,550,725
  4. Step 4: Simplify right side
    130,225,698x = 40,622,694,748,025,624
  5. Step 5: Solve for x
    x = 40,622,694,748,025,624/130,225,698
  6. Step 6: Final answer
    x = 311,940,695.05

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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.