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Finding the Third Proportional to 116,607,187.50 and 255,180,709.50

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Solution

The third proportional to 116,607,187.50 and 255,180,709.50 is: 558,432,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,607,187.50 : 255,180,709.50 = 255,180,709.50 : x
  2. Step 2: Convert to fraction form
    116,607,187.50/255,180,709.50 = 255,180,709.50/x
  3. Step 3: Cross multiply
    116,607,187.50x = 255,180,709.50 × 255,180,709.50
  4. Step 4: Simplify right side
    116,607,187.50x = 65,117,194,500,923,392
  5. Step 5: Solve for x
    x = 65,117,194,500,923,392/116,607,187.50
  6. Step 6: Final answer
    x = 558,432,082.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.