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Finding the Third Proportional to 133,069,031 and 291,223,583

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Solution

The third proportional to 133,069,031 and 291,223,583 is: 637,347,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,031 : 291,223,583 = 291,223,583 : x
  2. Step 2: Convert to fraction form
    133,069,031/291,223,583 = 291,223,583/x
  3. Step 3: Cross multiply
    133,069,031x = 291,223,583 × 291,223,583
  4. Step 4: Simplify right side
    133,069,031x = 84,811,175,295,357,888
  5. Step 5: Solve for x
    x = 84,811,175,295,357,888/133,069,031
  6. Step 6: Final answer
    x = 637,347,207.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.