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Finding the Third Proportional to 49,232,294 and 107,133,856

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Solution

The third proportional to 49,232,294 and 107,133,856 is: 233,132,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232,294 : 107,133,856 = 107,133,856 : x
  2. Step 2: Convert to fraction form
    49,232,294/107,133,856 = 107,133,856/x
  3. Step 3: Cross multiply
    49,232,294x = 107,133,856 × 107,133,856
  4. Step 4: Simplify right side
    49,232,294x = 11,477,663,101,428,736
  5. Step 5: Solve for x
    x = 11,477,663,101,428,736/49,232,294
  6. Step 6: Final answer
    x = 233,132,811.19

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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.