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Finding the Third Proportional to 202,412,114 and 310,983,841

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Solution

The third proportional to 202,412,114 and 310,983,841 is: 477,792,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412,114 : 310,983,841 = 310,983,841 : x
  2. Step 2: Convert to fraction form
    202,412,114/310,983,841 = 310,983,841/x
  3. Step 3: Cross multiply
    202,412,114x = 310,983,841 × 310,983,841
  4. Step 4: Simplify right side
    202,412,114x = 96,710,949,363,113,280
  5. Step 5: Solve for x
    x = 96,710,949,363,113,280/202,412,114
  6. Step 6: Final answer
    x = 477,792,299.34

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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.