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Finding the Third Proportional to 127,663,984 and 202,183,846

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Solution

The third proportional to 127,663,984 and 202,183,846 is: 320,202,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663,984 : 202,183,846 = 202,183,846 : x
  2. Step 2: Convert to fraction form
    127,663,984/202,183,846 = 202,183,846/x
  3. Step 3: Cross multiply
    127,663,984x = 202,183,846 × 202,183,846
  4. Step 4: Simplify right side
    127,663,984x = 40,878,307,583,351,712
  5. Step 5: Solve for x
    x = 40,878,307,583,351,712/127,663,984
  6. Step 6: Final answer
    x = 320,202,349.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.