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Finding the Third Proportional to 70,523,410.50 and 106,851,703.50

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Solution

The third proportional to 70,523,410.50 and 106,851,703.50 is: 161,893,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523,410.50 : 106,851,703.50 = 106,851,703.50 : x
  2. Step 2: Convert to fraction form
    70,523,410.50/106,851,703.50 = 106,851,703.50/x
  3. Step 3: Cross multiply
    70,523,410.50x = 106,851,703.50 × 106,851,703.50
  4. Step 4: Simplify right side
    70,523,410.50x = 11,417,286,540,851,912
  5. Step 5: Solve for x
    x = 11,417,286,540,851,912/70,523,410.50
  6. Step 6: Final answer
    x = 161,893,567.82

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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.