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Finding the Third Proportional to 109,017,496.50 and 167,567,403

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Solution

The third proportional to 109,017,496.50 and 167,567,403 is: 257,562,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,017,496.50 : 167,567,403 = 167,567,403 : x
  2. Step 2: Convert to fraction form
    109,017,496.50/167,567,403 = 167,567,403/x
  3. Step 3: Cross multiply
    109,017,496.50x = 167,567,403 × 167,567,403
  4. Step 4: Simplify right side
    109,017,496.50x = 28,078,834,548,164,408
  5. Step 5: Solve for x
    x = 28,078,834,548,164,408/109,017,496.50
  6. Step 6: Final answer
    x = 257,562,643.15

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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.