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Finding the Third Proportional to 77,035,896 and 156,762,208

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Solution

The third proportional to 77,035,896 and 156,762,208 is: 318,999,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035,896 : 156,762,208 = 156,762,208 : x
  2. Step 2: Convert to fraction form
    77,035,896/156,762,208 = 156,762,208/x
  3. Step 3: Cross multiply
    77,035,896x = 156,762,208 × 156,762,208
  4. Step 4: Simplify right side
    77,035,896x = 24,574,389,857,035,264
  5. Step 5: Solve for x
    x = 24,574,389,857,035,264/77,035,896
  6. Step 6: Final answer
    x = 318,999,208.59

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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.