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Finding the Third Proportional to 135,284,310 and 289,700,484

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Solution

The third proportional to 135,284,310 and 289,700,484 is: 620,370,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,284,310 : 289,700,484 = 289,700,484 : x
  2. Step 2: Convert to fraction form
    135,284,310/289,700,484 = 289,700,484/x
  3. Step 3: Cross multiply
    135,284,310x = 289,700,484 × 289,700,484
  4. Step 4: Simplify right side
    135,284,310x = 83,926,370,429,834,256
  5. Step 5: Solve for x
    x = 83,926,370,429,834,256/135,284,310
  6. Step 6: Final answer
    x = 620,370,318.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.