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Finding the Third Proportional to 130,323,650 and 191,225,163

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Solution

The third proportional to 130,323,650 and 191,225,163 is: 280,586,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,323,650 : 191,225,163 = 191,225,163 : x
  2. Step 2: Convert to fraction form
    130,323,650/191,225,163 = 191,225,163/x
  3. Step 3: Cross multiply
    130,323,650x = 191,225,163 × 191,225,163
  4. Step 4: Simplify right side
    130,323,650x = 36,567,062,964,376,568
  5. Step 5: Solve for x
    x = 36,567,062,964,376,568/130,323,650
  6. Step 6: Final answer
    x = 280,586,547.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.