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Finding the Third Proportional to 133,771,634 and 293,849,597

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Solution

The third proportional to 133,771,634 and 293,849,597 is: 645,485,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771,634 : 293,849,597 = 293,849,597 : x
  2. Step 2: Convert to fraction form
    133,771,634/293,849,597 = 293,849,597/x
  3. Step 3: Cross multiply
    133,771,634x = 293,849,597 × 293,849,597
  4. Step 4: Simplify right side
    133,771,634x = 86,347,585,657,062,416
  5. Step 5: Solve for x
    x = 86,347,585,657,062,416/133,771,634
  6. Step 6: Final answer
    x = 645,485,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.