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Finding the Third Proportional to 130,323,654 and 191,225,169

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Solution

The third proportional to 130,323,654 and 191,225,169 is: 280,586,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,323,654 : 191,225,169 = 191,225,169 : x
  2. Step 2: Convert to fraction form
    130,323,654/191,225,169 = 191,225,169/x
  3. Step 3: Cross multiply
    130,323,654x = 191,225,169 × 191,225,169
  4. Step 4: Simplify right side
    130,323,654x = 36,567,065,259,078,560
  5. Step 5: Solve for x
    x = 36,567,065,259,078,560/130,323,654
  6. Step 6: Final answer
    x = 280,586,556.14

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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.