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Finding the Third Proportional to 77,035,874 and 156,762,160

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Solution

The third proportional to 77,035,874 and 156,762,160 is: 318,999,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035,874 : 156,762,160 = 156,762,160 : x
  2. Step 2: Convert to fraction form
    77,035,874/156,762,160 = 156,762,160/x
  3. Step 3: Cross multiply
    77,035,874x = 156,762,160 × 156,762,160
  4. Step 4: Simplify right side
    77,035,874x = 24,574,374,807,865,600
  5. Step 5: Solve for x
    x = 24,574,374,807,865,600/77,035,874
  6. Step 6: Final answer
    x = 318,999,104.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.