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Finding the Third Proportional to 258,500,187,738 and 565,696,144,431

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Solution

The third proportional to 258,500,187,738 and 565,696,144,431 is: 1,237,957,042,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,500,187,738 : 565,696,144,431 = 565,696,144,431 : x
  2. Step 2: Convert to fraction form
    258,500,187,738/565,696,144,431 = 565,696,144,431/x
  3. Step 3: Cross multiply
    258,500,187,738x = 565,696,144,431 × 565,696,144,431
  4. Step 4: Simplify right side
    258,500,187,738x = 320,012,127,824,098,810,134,528
  5. Step 5: Solve for x
    x = 320,012,127,824,098,810,134,528/258,500,187,738
  6. Step 6: Final answer
    x = 1,237,957,042,214.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.