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Finding the Third Proportional to 392,272,999,330.50 and 560,951,057,058.75

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Solution

The third proportional to 392,272,999,330.50 and 560,951,057,058.75 is: 802,160,966,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272,999,330.50 : 560,951,057,058.75 = 560,951,057,058.75 : x
  2. Step 2: Convert to fraction form
    392,272,999,330.50/560,951,057,058.75 = 560,951,057,058.75/x
  3. Step 3: Cross multiply
    392,272,999,330.50x = 560,951,057,058.75 × 560,951,057,058.75
  4. Step 4: Simplify right side
    392,272,999,330.50x = 314,666,088,415,328,997,474,304
  5. Step 5: Solve for x
    x = 314,666,088,415,328,997,474,304/392,272,999,330.50
  6. Step 6: Final answer
    x = 802,160,966,858.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.