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Finding the Third Proportional to 106,754,856.75 and 233,087,735.25

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Solution

The third proportional to 106,754,856.75 and 233,087,735.25 is: 508,921,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754,856.75 : 233,087,735.25 = 233,087,735.25 : x
  2. Step 2: Convert to fraction form
    106,754,856.75/233,087,735.25 = 233,087,735.25/x
  3. Step 3: Cross multiply
    106,754,856.75x = 233,087,735.25 × 233,087,735.25
  4. Step 4: Simplify right side
    106,754,856.75x = 54,329,892,323,974,096
  5. Step 5: Solve for x
    x = 54,329,892,323,974,096/106,754,856.75
  6. Step 6: Final answer
    x = 508,921,972.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.