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Finding the Third Proportional to 89,971,820,340 and 187,390,555,330

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Solution

The third proportional to 89,971,820,340 and 187,390,555,330 is: 390,291,316,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,820,340 : 187,390,555,330 = 187,390,555,330 : x
  2. Step 2: Convert to fraction form
    89,971,820,340/187,390,555,330 = 187,390,555,330/x
  3. Step 3: Cross multiply
    89,971,820,340x = 187,390,555,330 × 187,390,555,330
  4. Step 4: Simplify right side
    89,971,820,340x = 35,115,220,226,885,793,349,632
  5. Step 5: Solve for x
    x = 35,115,220,226,885,793,349,632/89,971,820,340
  6. Step 6: Final answer
    x = 390,291,316,705.46

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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.