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Finding the Third Proportional to 89,971,820,271 and 187,390,555,194.88

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Solution

The third proportional to 89,971,820,271 and 187,390,555,194.88 is: 390,291,316,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,820,271 : 187,390,555,194.88 = 187,390,555,194.88 : x
  2. Step 2: Convert to fraction form
    89,971,820,271/187,390,555,194.88 = 187,390,555,194.88/x
  3. Step 3: Cross multiply
    89,971,820,271x = 187,390,555,194.88 × 187,390,555,194.88
  4. Step 4: Simplify right side
    89,971,820,271x = 35,115,220,176,245,369,077,760
  5. Step 5: Solve for x
    x = 35,115,220,176,245,369,077,760/89,971,820,271
  6. Step 6: Final answer
    x = 390,291,316,441.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.