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Finding the Third Proportional to 70,523,329.50 and 106,851,577.50

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Solution

The third proportional to 70,523,329.50 and 106,851,577.50 is: 161,893,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523,329.50 : 106,851,577.50 = 106,851,577.50 : x
  2. Step 2: Convert to fraction form
    70,523,329.50/106,851,577.50 = 106,851,577.50/x
  3. Step 3: Cross multiply
    70,523,329.50x = 106,851,577.50 × 106,851,577.50
  4. Step 4: Simplify right side
    70,523,329.50x = 11,417,259,614,238,506
  5. Step 5: Solve for x
    x = 11,417,259,614,238,506/70,523,329.50
  6. Step 6: Final answer
    x = 161,893,371.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.