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Finding the Third Proportional to 185,389,344 and 280,470,072

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Solution

The third proportional to 185,389,344 and 280,470,072 is: 424,314,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,344 : 280,470,072 = 280,470,072 : x
  2. Step 2: Convert to fraction form
    185,389,344/280,470,072 = 280,470,072/x
  3. Step 3: Cross multiply
    185,389,344x = 280,470,072 × 280,470,072
  4. Step 4: Simplify right side
    185,389,344x = 78,663,461,287,685,184
  5. Step 5: Solve for x
    x = 78,663,461,287,685,184/185,389,344
  6. Step 6: Final answer
    x = 424,314,901.77

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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.