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Finding the Third Proportional to 234,447,484 and 344,648,202

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Solution

The third proportional to 234,447,484 and 344,648,202 is: 506,648,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,447,484 : 344,648,202 = 344,648,202 : x
  2. Step 2: Convert to fraction form
    234,447,484/344,648,202 = 344,648,202/x
  3. Step 3: Cross multiply
    234,447,484x = 344,648,202 × 344,648,202
  4. Step 4: Simplify right side
    234,447,484x = 118,782,383,141,832,800
  5. Step 5: Solve for x
    x = 118,782,383,141,832,800/234,447,484
  6. Step 6: Final answer
    x = 506,648,146.17

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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.