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Finding the Third Proportional to 229,697,462.25 and 353,061,461.25

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Solution

The third proportional to 229,697,462.25 and 353,061,461.25 is: 542,680,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,697,462.25 : 353,061,461.25 = 353,061,461.25 : x
  2. Step 2: Convert to fraction form
    229,697,462.25/353,061,461.25 = 353,061,461.25/x
  3. Step 3: Cross multiply
    229,697,462.25x = 353,061,461.25 × 353,061,461.25
  4. Step 4: Simplify right side
    229,697,462.25x = 124,652,395,419,985,248
  5. Step 5: Solve for x
    x = 124,652,395,419,985,248/229,697,462.25
  6. Step 6: Final answer
    x = 542,680,768.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.