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Finding the Third Proportional to 188,076,464 and 290,499,600

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Solution

The third proportional to 188,076,464 and 290,499,600 is: 448,700,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076,464 : 290,499,600 = 290,499,600 : x
  2. Step 2: Convert to fraction form
    188,076,464/290,499,600 = 290,499,600/x
  3. Step 3: Cross multiply
    188,076,464x = 290,499,600 × 290,499,600
  4. Step 4: Simplify right side
    188,076,464x = 84,390,017,600,160,000
  5. Step 5: Solve for x
    x = 84,390,017,600,160,000/188,076,464
  6. Step 6: Final answer
    x = 448,700,575.32

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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.