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Finding the Third Proportional to 114,975,856 and 172,421,565

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Solution

The third proportional to 114,975,856 and 172,421,565 is: 258,569,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,975,856 : 172,421,565 = 172,421,565 : x
  2. Step 2: Convert to fraction form
    114,975,856/172,421,565 = 172,421,565/x
  3. Step 3: Cross multiply
    114,975,856x = 172,421,565 × 172,421,565
  4. Step 4: Simplify right side
    114,975,856x = 29,729,196,077,049,224
  5. Step 5: Solve for x
    x = 29,729,196,077,049,224/114,975,856
  6. Step 6: Final answer
    x = 258,569,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.