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Finding the Third Proportional to 41,707,402.50 and 90,829,420.50

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Solution

The third proportional to 41,707,402.50 and 90,829,420.50 is: 197,806,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707,402.50 : 90,829,420.50 = 90,829,420.50 : x
  2. Step 2: Convert to fraction form
    41,707,402.50/90,829,420.50 = 90,829,420.50/x
  3. Step 3: Cross multiply
    41,707,402.50x = 90,829,420.50 × 90,829,420.50
  4. Step 4: Simplify right side
    41,707,402.50x = 8,249,983,628,365,820
  5. Step 5: Solve for x
    x = 8,249,983,628,365,820/41,707,402.50
  6. Step 6: Final answer
    x = 197,806,219.85

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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.