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Finding the Third Proportional to 120,966,711 and 265,448,032.50

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Solution

The third proportional to 120,966,711 and 265,448,032.50 is: 582,496,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,966,711 : 265,448,032.50 = 265,448,032.50 : x
  2. Step 2: Convert to fraction form
    120,966,711/265,448,032.50 = 265,448,032.50/x
  3. Step 3: Cross multiply
    120,966,711x = 265,448,032.50 × 265,448,032.50
  4. Step 4: Simplify right side
    120,966,711x = 70,462,657,958,121,056
  5. Step 5: Solve for x
    x = 70,462,657,958,121,056/120,966,711
  6. Step 6: Final answer
    x = 582,496,270.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.