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Finding the Third Proportional to 98,605,880 and 210,402,648

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Solution

The third proportional to 98,605,880 and 210,402,648 is: 448,951,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605,880 : 210,402,648 = 210,402,648 : x
  2. Step 2: Convert to fraction form
    98,605,880/210,402,648 = 210,402,648/x
  3. Step 3: Cross multiply
    98,605,880x = 210,402,648 × 210,402,648
  4. Step 4: Simplify right side
    98,605,880x = 44,269,274,285,411,904
  5. Step 5: Solve for x
    x = 44,269,274,285,411,904/98,605,880
  6. Step 6: Final answer
    x = 448,951,667.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.