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Finding the Third Proportional to 135,284,313 and 289,700,490

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Solution

The third proportional to 135,284,313 and 289,700,490 is: 620,370,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,284,313 : 289,700,490 = 289,700,490 : x
  2. Step 2: Convert to fraction form
    135,284,313/289,700,490 = 289,700,490/x
  3. Step 3: Cross multiply
    135,284,313x = 289,700,490 × 289,700,490
  4. Step 4: Simplify right side
    135,284,313x = 83,926,373,906,240,096
  5. Step 5: Solve for x
    x = 83,926,373,906,240,096/135,284,313
  6. Step 6: Final answer
    x = 620,370,330.05

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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.