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Finding the Third Proportional to 68,255,923.50 and 147,420,465.75

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Solution

The third proportional to 68,255,923.50 and 147,420,465.75 is: 318,401,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255,923.50 : 147,420,465.75 = 147,420,465.75 : x
  2. Step 2: Convert to fraction form
    68,255,923.50/147,420,465.75 = 147,420,465.75/x
  3. Step 3: Cross multiply
    68,255,923.50x = 147,420,465.75 × 147,420,465.75
  4. Step 4: Simplify right side
    68,255,923.50x = 21,732,793,721,946,924
  5. Step 5: Solve for x
    x = 21,732,793,721,946,924/68,255,923.50
  6. Step 6: Final answer
    x = 318,401,577.59

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