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Finding the Third Proportional to 35,911,219.50 and 77,330,083.50

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Solution

The third proportional to 35,911,219.50 and 77,330,083.50 is: 166,520,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,911,219.50 : 77,330,083.50 = 77,330,083.50 : x
  2. Step 2: Convert to fraction form
    35,911,219.50/77,330,083.50 = 77,330,083.50/x
  3. Step 3: Cross multiply
    35,911,219.50x = 77,330,083.50 × 77,330,083.50
  4. Step 4: Simplify right side
    35,911,219.50x = 5,979,941,814,116,972
  5. Step 5: Solve for x
    x = 5,979,941,814,116,972/35,911,219.50
  6. Step 6: Final answer
    x = 166,520,154.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.