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Finding the Third Proportional to 172,209,473.25 and 265,927,037.25

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Solution

The third proportional to 172,209,473.25 and 265,927,037.25 is: 410,646,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,209,473.25 : 265,927,037.25 = 265,927,037.25 : x
  2. Step 2: Convert to fraction form
    172,209,473.25/265,927,037.25 = 265,927,037.25/x
  3. Step 3: Cross multiply
    172,209,473.25x = 265,927,037.25 × 265,927,037.25
  4. Step 4: Simplify right side
    172,209,473.25x = 70,717,189,140,562,888
  5. Step 5: Solve for x
    x = 70,717,189,140,562,888/172,209,473.25
  6. Step 6: Final answer
    x = 410,646,335.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.