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Finding the Third Proportional to 114,251,024 and 174,053,534

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Solution

The third proportional to 114,251,024 and 174,053,534 is: 265,158,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251,024 : 174,053,534 = 174,053,534 : x
  2. Step 2: Convert to fraction form
    114,251,024/174,053,534 = 174,053,534/x
  3. Step 3: Cross multiply
    114,251,024x = 174,053,534 × 174,053,534
  4. Step 4: Simplify right side
    114,251,024x = 30,294,632,697,889,156
  5. Step 5: Solve for x
    x = 30,294,632,697,889,156/114,251,024
  6. Step 6: Final answer
    x = 265,158,522.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.