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Finding the Third Proportional to 40,908,948.75 and 90,898,564.50

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Solution

The third proportional to 40,908,948.75 and 90,898,564.50 is: 201,974,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,908,948.75 : 90,898,564.50 = 90,898,564.50 : x
  2. Step 2: Convert to fraction form
    40,908,948.75/90,898,564.50 = 90,898,564.50/x
  3. Step 3: Cross multiply
    40,908,948.75x = 90,898,564.50 × 90,898,564.50
  4. Step 4: Simplify right side
    40,908,948.75x = 8,262,549,028,160,660
  5. Step 5: Solve for x
    x = 8,262,549,028,160,660/40,908,948.75
  6. Step 6: Final answer
    x = 201,974,122.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.