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Finding the Third Proportional to 127,663,995 and 202,183,864.50

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Solution

The third proportional to 127,663,995 and 202,183,864.50 is: 320,202,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663,995 : 202,183,864.50 = 202,183,864.50 : x
  2. Step 2: Convert to fraction form
    127,663,995/202,183,864.50 = 202,183,864.50/x
  3. Step 3: Cross multiply
    127,663,995x = 202,183,864.50 × 202,183,864.50
  4. Step 4: Simplify right side
    127,663,995x = 40,878,315,064,154,360
  5. Step 5: Solve for x
    x = 40,878,315,064,154,360/127,663,995
  6. Step 6: Final answer
    x = 320,202,380.19

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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.