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Finding the Third Proportional to 133,069,840 and 291,225,025

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Solution

The third proportional to 133,069,840 and 291,225,025 is: 637,349,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,840 : 291,225,025 = 291,225,025 : x
  2. Step 2: Convert to fraction form
    133,069,840/291,225,025 = 291,225,025/x
  3. Step 3: Cross multiply
    133,069,840x = 291,225,025 × 291,225,025
  4. Step 4: Simplify right side
    133,069,840x = 84,812,015,186,250,624
  5. Step 5: Solve for x
    x = 84,812,015,186,250,624/133,069,840
  6. Step 6: Final answer
    x = 637,349,644.26

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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.