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Finding the Third Proportional to 229,452,972 and 346,096,905

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Solution

The third proportional to 229,452,972 and 346,096,905 is: 522,037,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,452,972 : 346,096,905 = 346,096,905 : x
  2. Step 2: Convert to fraction form
    229,452,972/346,096,905 = 346,096,905/x
  3. Step 3: Cross multiply
    229,452,972x = 346,096,905 × 346,096,905
  4. Step 4: Simplify right side
    229,452,972x = 119,783,067,650,579,024
  5. Step 5: Solve for x
    x = 119,783,067,650,579,024/229,452,972
  6. Step 6: Final answer
    x = 522,037,551.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.