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Finding the Third Proportional to 130,960,667 and 205,438,364

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Solution

The third proportional to 130,960,667 and 205,438,364 is: 322,271,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960,667 : 205,438,364 = 205,438,364 : x
  2. Step 2: Convert to fraction form
    130,960,667/205,438,364 = 205,438,364/x
  3. Step 3: Cross multiply
    130,960,667x = 205,438,364 × 205,438,364
  4. Step 4: Simplify right side
    130,960,667x = 42,204,921,402,996,496
  5. Step 5: Solve for x
    x = 42,204,921,402,996,496/130,960,667
  6. Step 6: Final answer
    x = 322,271,735.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.