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Finding the Third Proportional to 96,756,896.25 and 208,905,898.50

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Solution

The third proportional to 96,756,896.25 and 208,905,898.50 is: 451,044,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,756,896.25 : 208,905,898.50 = 208,905,898.50 : x
  2. Step 2: Convert to fraction form
    96,756,896.25/208,905,898.50 = 208,905,898.50/x
  3. Step 3: Cross multiply
    96,756,896.25x = 208,905,898.50 × 208,905,898.50
  4. Step 4: Simplify right side
    96,756,896.25x = 43,641,674,428,092,304
  5. Step 5: Solve for x
    x = 43,641,674,428,092,304/96,756,896.25
  6. Step 6: Final answer
    x = 451,044,588.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.