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Finding the Third Proportional to 115,852,025.81 and 174,855,400.88

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Solution

The third proportional to 115,852,025.81 and 174,855,400.88 is: 263,909,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852,025.81 : 174,855,400.88 = 174,855,400.88 : x
  2. Step 2: Convert to fraction form
    115,852,025.81/174,855,400.88 = 174,855,400.88/x
  3. Step 3: Cross multiply
    115,852,025.81x = 174,855,400.88 × 174,855,400.88
  4. Step 4: Simplify right side
    115,852,025.81x = 30,574,411,215,156,952
  5. Step 5: Solve for x
    x = 30,574,411,215,156,952/115,852,025.81
  6. Step 6: Final answer
    x = 263,909,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.