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Finding the Third Proportional to 86,668,941,096 and 175,774,815,456

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Solution

The third proportional to 86,668,941,096 and 175,774,815,456 is: 356,492,018,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,668,941,096 : 175,774,815,456 = 175,774,815,456 : x
  2. Step 2: Convert to fraction form
    86,668,941,096/175,774,815,456 = 175,774,815,456/x
  3. Step 3: Cross multiply
    86,668,941,096x = 175,774,815,456 × 175,774,815,456
  4. Step 4: Simplify right side
    86,668,941,096x = 30,896,785,748,590,856,241,152
  5. Step 5: Solve for x
    x = 30,896,785,748,590,856,241,152/86,668,941,096
  6. Step 6: Final answer
    x = 356,492,018,454.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.