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Finding the Third Proportional to 45,421,107 and 99,635,896.50

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Solution

The third proportional to 45,421,107 and 99,635,896.50 is: 218,561,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,107 : 99,635,896.50 = 99,635,896.50 : x
  2. Step 2: Convert to fraction form
    45,421,107/99,635,896.50 = 99,635,896.50/x
  3. Step 3: Cross multiply
    45,421,107x = 99,635,896.50 × 99,635,896.50
  4. Step 4: Simplify right side
    45,421,107x = 9,927,311,871,358,712
  5. Step 5: Solve for x
    x = 9,927,311,871,358,712/45,421,107
  6. Step 6: Final answer
    x = 218,561,645.17

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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.