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Finding the Third Proportional to 234,447,486 and 344,648,205

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Solution

The third proportional to 234,447,486 and 344,648,205 is: 506,648,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,447,486 : 344,648,205 = 344,648,205 : x
  2. Step 2: Convert to fraction form
    234,447,486/344,648,205 = 344,648,205/x
  3. Step 3: Cross multiply
    234,447,486x = 344,648,205 × 344,648,205
  4. Step 4: Simplify right side
    234,447,486x = 118,782,385,209,722,032
  5. Step 5: Solve for x
    x = 118,782,385,209,722,032/234,447,486
  6. Step 6: Final answer
    x = 506,648,150.66

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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.