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Finding the Third Proportional to 166,160,335.50 and 361,579,450.50

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Solution

The third proportional to 166,160,335.50 and 361,579,450.50 is: 786,828,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160,335.50 : 361,579,450.50 = 361,579,450.50 : x
  2. Step 2: Convert to fraction form
    166,160,335.50/361,579,450.50 = 361,579,450.50/x
  3. Step 3: Cross multiply
    166,160,335.50x = 361,579,450.50 × 361,579,450.50
  4. Step 4: Simplify right side
    166,160,335.50x = 130,739,699,023,881,952
  5. Step 5: Solve for x
    x = 130,739,699,023,881,952/166,160,335.50
  6. Step 6: Final answer
    x = 786,828,569.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.