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Finding the Third Proportional to 202,412,115 and 310,983,843

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Solution

The third proportional to 202,412,115 and 310,983,843 is: 477,792,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412,115 : 310,983,843 = 310,983,843 : x
  2. Step 2: Convert to fraction form
    202,412,115/310,983,843 = 310,983,843/x
  3. Step 3: Cross multiply
    202,412,115x = 310,983,843 × 310,983,843
  4. Step 4: Simplify right side
    202,412,115x = 96,710,950,607,048,656
  5. Step 5: Solve for x
    x = 96,710,950,607,048,656/202,412,115
  6. Step 6: Final answer
    x = 477,792,303.13

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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.