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Finding the Third Proportional to 159,710,726 and 238,501,641

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Solution

The third proportional to 159,710,726 and 238,501,641 is: 356,162,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710,726 : 238,501,641 = 238,501,641 : x
  2. Step 2: Convert to fraction form
    159,710,726/238,501,641 = 238,501,641/x
  3. Step 3: Cross multiply
    159,710,726x = 238,501,641 × 238,501,641
  4. Step 4: Simplify right side
    159,710,726x = 56,883,032,759,692,880
  5. Step 5: Solve for x
    x = 56,883,032,759,692,880/159,710,726
  6. Step 6: Final answer
    x = 356,162,883.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.