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Finding the Third Proportional to 55,627,983 and 120,832,258.50

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Solution

The third proportional to 55,627,983 and 120,832,258.50 is: 262,465,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,627,983 : 120,832,258.50 = 120,832,258.50 : x
  2. Step 2: Convert to fraction form
    55,627,983/120,832,258.50 = 120,832,258.50/x
  3. Step 3: Cross multiply
    55,627,983x = 120,832,258.50 × 120,832,258.50
  4. Step 4: Simplify right side
    55,627,983x = 14,600,434,694,210,822
  5. Step 5: Solve for x
    x = 14,600,434,694,210,822/55,627,983
  6. Step 6: Final answer
    x = 262,465,649.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.