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Finding the Third Proportional to 114,850,210.50 and 176,532,856.88

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Solution

The third proportional to 114,850,210.50 and 176,532,856.88 is: 271,343,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,850,210.50 : 176,532,856.88 = 176,532,856.88 : x
  2. Step 2: Convert to fraction form
    114,850,210.50/176,532,856.88 = 176,532,856.88/x
  3. Step 3: Cross multiply
    114,850,210.50x = 176,532,856.88 × 176,532,856.88
  4. Step 4: Simplify right side
    114,850,210.50x = 31,163,849,556,449,236
  5. Step 5: Solve for x
    x = 31,163,849,556,449,236/114,850,210.50
  6. Step 6: Final answer
    x = 271,343,425.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.