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Finding the Third Proportional to 164,254,824 and 254,245,594.50

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Solution

The third proportional to 164,254,824 and 254,245,594.50 is: 393,539,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,254,824 : 254,245,594.50 = 254,245,594.50 : x
  2. Step 2: Convert to fraction form
    164,254,824/254,245,594.50 = 254,245,594.50/x
  3. Step 3: Cross multiply
    164,254,824x = 254,245,594.50 × 254,245,594.50
  4. Step 4: Simplify right side
    164,254,824x = 64,640,822,322,658,432
  5. Step 5: Solve for x
    x = 64,640,822,322,658,432/164,254,824
  6. Step 6: Final answer
    x = 393,539,871.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.