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Finding the Third Proportional to 112,698,137.25 and 169,934,087.25

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Solution

The third proportional to 112,698,137.25 and 169,934,087.25 is: 256,238,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,698,137.25 : 169,934,087.25 = 169,934,087.25 : x
  2. Step 2: Convert to fraction form
    112,698,137.25/169,934,087.25 = 169,934,087.25/x
  3. Step 3: Cross multiply
    112,698,137.25x = 169,934,087.25 × 169,934,087.25
  4. Step 4: Simplify right side
    112,698,137.25x = 28,877,594,009,490,612
  5. Step 5: Solve for x
    x = 28,877,594,009,490,612/112,698,137.25
  6. Step 6: Final answer
    x = 256,238,432.28

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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.