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Finding the Third Proportional to 85,004,312.50 and 180,223,781.50

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Solution

The third proportional to 85,004,312.50 and 180,223,781.50 is: 382,105,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,004,312.50 : 180,223,781.50 = 180,223,781.50 : x
  2. Step 2: Convert to fraction form
    85,004,312.50/180,223,781.50 = 180,223,781.50/x
  3. Step 3: Cross multiply
    85,004,312.50x = 180,223,781.50 × 180,223,781.50
  4. Step 4: Simplify right side
    85,004,312.50x = 32,480,611,418,159,744
  5. Step 5: Solve for x
    x = 32,480,611,418,159,744/85,004,312.50
  6. Step 6: Final answer
    x = 382,105,453.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.