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Finding the Third Proportional to 107,223,082 and 234,109,572

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Solution

The third proportional to 107,223,082 and 234,109,572 is: 511,151,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223,082 : 234,109,572 = 234,109,572 : x
  2. Step 2: Convert to fraction form
    107,223,082/234,109,572 = 234,109,572/x
  3. Step 3: Cross multiply
    107,223,082x = 234,109,572 × 234,109,572
  4. Step 4: Simplify right side
    107,223,082x = 54,807,291,702,023,184
  5. Step 5: Solve for x
    x = 54,807,291,702,023,184/107,223,082
  6. Step 6: Final answer
    x = 511,151,989.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.