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Finding the Third Proportional to 74,970,461.25 and 113,254,564.50

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Solution

The third proportional to 74,970,461.25 and 113,254,564.50 is: 171,088,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,970,461.25 : 113,254,564.50 = 113,254,564.50 : x
  2. Step 2: Convert to fraction form
    74,970,461.25/113,254,564.50 = 113,254,564.50/x
  3. Step 3: Cross multiply
    74,970,461.25x = 113,254,564.50 × 113,254,564.50
  4. Step 4: Simplify right side
    74,970,461.25x = 12,826,596,380,084,660
  5. Step 5: Solve for x
    x = 12,826,596,380,084,660/74,970,461.25
  6. Step 6: Final answer
    x = 171,088,668.34

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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.