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Finding the Third Proportional to 49,091,622.75 and 106,802,415

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Solution

The third proportional to 49,091,622.75 and 106,802,415 is: 232,356,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091,622.75 : 106,802,415 = 106,802,415 : x
  2. Step 2: Convert to fraction form
    49,091,622.75/106,802,415 = 106,802,415/x
  3. Step 3: Cross multiply
    49,091,622.75x = 106,802,415 × 106,802,415
  4. Step 4: Simplify right side
    49,091,622.75x = 11,406,755,849,832,224
  5. Step 5: Solve for x
    x = 11,406,755,849,832,224/49,091,622.75
  6. Step 6: Final answer
    x = 232,356,463.50

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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.