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Finding the Third Proportional to 85,563,553 and 186,806,433

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Solution

The third proportional to 85,563,553 and 186,806,433 is: 407,844,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,563,553 : 186,806,433 = 186,806,433 : x
  2. Step 2: Convert to fraction form
    85,563,553/186,806,433 = 186,806,433/x
  3. Step 3: Cross multiply
    85,563,553x = 186,806,433 × 186,806,433
  4. Step 4: Simplify right side
    85,563,553x = 34,896,643,410,183,488
  5. Step 5: Solve for x
    x = 34,896,643,410,183,488/85,563,553
  6. Step 6: Final answer
    x = 407,844,721.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.