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Finding the Third Proportional to 89,971,820,330 and 187,390,555,310

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Solution

The third proportional to 89,971,820,330 and 187,390,555,310 is: 390,291,316,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,820,330 : 187,390,555,310 = 187,390,555,310 : x
  2. Step 2: Convert to fraction form
    89,971,820,330/187,390,555,310 = 187,390,555,310/x
  3. Step 3: Cross multiply
    89,971,820,330x = 187,390,555,310 × 187,390,555,310
  4. Step 4: Simplify right side
    89,971,820,330x = 35,115,220,219,390,169,448,448
  5. Step 5: Solve for x
    x = 35,115,220,219,390,169,448,448/89,971,820,330
  6. Step 6: Final answer
    x = 390,291,316,665.53

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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.