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Finding the Third Proportional to 188,076,445.50 and 290,499,572.25

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Solution

The third proportional to 188,076,445.50 and 290,499,572.25 is: 448,700,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076,445.50 : 290,499,572.25 = 290,499,572.25 : x
  2. Step 2: Convert to fraction form
    188,076,445.50/290,499,572.25 = 290,499,572.25/x
  3. Step 3: Cross multiply
    188,076,445.50x = 290,499,572.25 × 290,499,572.25
  4. Step 4: Simplify right side
    188,076,445.50x = 84,390,001,477,432,976
  5. Step 5: Solve for x
    x = 84,390,001,477,432,976/188,076,445.50
  6. Step 6: Final answer
    x = 448,700,533.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.