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Finding the Third Proportional to 70,465,960.13 and 107,805,051.56

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Solution

The third proportional to 70,465,960.13 and 107,805,051.56 is: 164,929,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,465,960.13 : 107,805,051.56 = 107,805,051.56 : x
  2. Step 2: Convert to fraction form
    70,465,960.13/107,805,051.56 = 107,805,051.56/x
  3. Step 3: Cross multiply
    70,465,960.13x = 107,805,051.56 × 107,805,051.56
  4. Step 4: Simplify right side
    70,465,960.13x = 11,621,929,142,393,284
  5. Step 5: Solve for x
    x = 11,621,929,142,393,284/70,465,960.13
  6. Step 6: Final answer
    x = 164,929,692.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.