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Finding the Third Proportional to 101,649,594 and 157,065,475.50

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Solution

The third proportional to 101,649,594 and 157,065,475.50 is: 242,692,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,649,594 : 157,065,475.50 = 157,065,475.50 : x
  2. Step 2: Convert to fraction form
    101,649,594/157,065,475.50 = 157,065,475.50/x
  3. Step 3: Cross multiply
    101,649,594x = 157,065,475.50 × 157,065,475.50
  4. Step 4: Simplify right side
    101,649,594x = 24,669,563,594,041,100
  5. Step 5: Solve for x
    x = 24,669,563,594,041,100/101,649,594
  6. Step 6: Final answer
    x = 242,692,199.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.