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Finding the Third Proportional to 49,456,440 and 106,225,776

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Solution

The third proportional to 49,456,440 and 106,225,776 is: 228,158,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456,440 : 106,225,776 = 106,225,776 : x
  2. Step 2: Convert to fraction form
    49,456,440/106,225,776 = 106,225,776/x
  3. Step 3: Cross multiply
    49,456,440x = 106,225,776 × 106,225,776
  4. Step 4: Simplify right side
    49,456,440x = 11,283,915,486,802,176
  5. Step 5: Solve for x
    x = 11,283,915,486,802,176/49,456,440
  6. Step 6: Final answer
    x = 228,158,668.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.