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Finding the Third Proportional to 115,852,173.75 and 174,855,623.06

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Solution

The third proportional to 115,852,173.75 and 174,855,623.06 is: 263,909,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852,173.75 : 174,855,623.06 = 174,855,623.06 : x
  2. Step 2: Convert to fraction form
    115,852,173.75/174,855,623.06 = 174,855,623.06/x
  3. Step 3: Cross multiply
    115,852,173.75x = 174,855,623.06 × 174,855,623.06
  4. Step 4: Simplify right side
    115,852,173.75x = 30,574,488,916,575,080
  5. Step 5: Solve for x
    x = 30,574,488,916,575,080/115,852,173.75
  6. Step 6: Final answer
    x = 263,909,497.14

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