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Finding the Third Proportional to 234,447,482 and 344,648,199

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Solution

The third proportional to 234,447,482 and 344,648,199 is: 506,648,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,447,482 : 344,648,199 = 344,648,199 : x
  2. Step 2: Convert to fraction form
    234,447,482/344,648,199 = 344,648,199/x
  3. Step 3: Cross multiply
    234,447,482x = 344,648,199 × 344,648,199
  4. Step 4: Simplify right side
    234,447,482x = 118,782,381,073,943,600
  5. Step 5: Solve for x
    x = 118,782,381,073,943,600/234,447,482
  6. Step 6: Final answer
    x = 506,648,141.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.