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Finding the Third Proportional to 53,798,347.13 and 111,424,713.75

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Solution

The third proportional to 53,798,347.13 and 111,424,713.75 is: 230,777,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798,347.13 : 111,424,713.75 = 111,424,713.75 : x
  2. Step 2: Convert to fraction form
    53,798,347.13/111,424,713.75 = 111,424,713.75/x
  3. Step 3: Cross multiply
    53,798,347.13x = 111,424,713.75 × 111,424,713.75
  4. Step 4: Simplify right side
    53,798,347.13x = 12,415,466,834,269,440
  5. Step 5: Solve for x
    x = 12,415,466,834,269,440/53,798,347.13
  6. Step 6: Final answer
    x = 230,777,849.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.