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Finding the Third Proportional to 188,076,445 and 290,499,572

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Solution

The third proportional to 188,076,445 and 290,499,572 is: 448,700,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076,445 : 290,499,572 = 290,499,572 : x
  2. Step 2: Convert to fraction form
    188,076,445/290,499,572 = 290,499,572/x
  3. Step 3: Cross multiply
    188,076,445x = 290,499,572 × 290,499,572
  4. Step 4: Simplify right side
    188,076,445x = 84,390,001,332,183,184
  5. Step 5: Solve for x
    x = 84,390,001,332,183,184/188,076,445
  6. Step 6: Final answer
    x = 448,700,534.15

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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.