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Finding the Third Proportional to 91,836,864,058 and 142,590,486,618

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Solution

The third proportional to 91,836,864,058 and 142,590,486,618 is: 221,393,087,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,836,864,058 : 142,590,486,618 = 142,590,486,618 : x
  2. Step 2: Convert to fraction form
    91,836,864,058/142,590,486,618 = 142,590,486,618/x
  3. Step 3: Cross multiply
    91,836,864,058x = 142,590,486,618 × 142,590,486,618
  4. Step 4: Simplify right side
    91,836,864,058x = 20,332,046,873,958,037,848,064
  5. Step 5: Solve for x
    x = 20,332,046,873,958,037,848,064/91,836,864,058
  6. Step 6: Final answer
    x = 221,393,087,432.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.