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Finding the Third Proportional to 115,852,030.31 and 174,855,407.06

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Solution

The third proportional to 115,852,030.31 and 174,855,407.06 is: 263,909,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852,030.31 : 174,855,407.06 = 174,855,407.06 : x
  2. Step 2: Convert to fraction form
    115,852,030.31/174,855,407.06 = 174,855,407.06/x
  3. Step 3: Cross multiply
    115,852,030.31x = 174,855,407.06 × 174,855,407.06
  4. Step 4: Simplify right side
    115,852,030.31x = 30,574,413,378,992,576
  5. Step 5: Solve for x
    x = 30,574,413,378,992,576/115,852,030.31
  6. Step 6: Final answer
    x = 263,909,171.87

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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.