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Finding the Third Proportional to 199,828,029,699 and 436,274,095,437

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Solution

The third proportional to 199,828,029,699 and 436,274,095,437 is: 952,494,435,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828,029,699 : 436,274,095,437 = 436,274,095,437 : x
  2. Step 2: Convert to fraction form
    199,828,029,699/436,274,095,437 = 436,274,095,437/x
  3. Step 3: Cross multiply
    199,828,029,699x = 436,274,095,437 × 436,274,095,437
  4. Step 4: Simplify right side
    199,828,029,699x = 190,335,086,349,372,583,051,264
  5. Step 5: Solve for x
    x = 190,335,086,349,372,583,051,264/199,828,029,699
  6. Step 6: Final answer
    x = 952,494,435,520.75

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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.