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Finding the Third Proportional to 115,652,569.50 and 252,401,314.50

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Solution

The third proportional to 115,652,569.50 and 252,401,314.50 is: 550,843,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,652,569.50 : 252,401,314.50 = 252,401,314.50 : x
  2. Step 2: Convert to fraction form
    115,652,569.50/252,401,314.50 = 252,401,314.50/x
  3. Step 3: Cross multiply
    115,652,569.50x = 252,401,314.50 × 252,401,314.50
  4. Step 4: Simplify right side
    115,652,569.50x = 63,706,423,561,327,912
  5. Step 5: Solve for x
    x = 63,706,423,561,327,912/115,652,569.50
  6. Step 6: Final answer
    x = 550,843,131.60

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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.