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Finding the Third Proportional to 89,971,820,337 and 187,390,555,321.50

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Solution

The third proportional to 89,971,820,337 and 187,390,555,321.50 is: 390,291,316,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,820,337 : 187,390,555,321.50 = 187,390,555,321.50 : x
  2. Step 2: Convert to fraction form
    89,971,820,337/187,390,555,321.50 = 187,390,555,321.50/x
  3. Step 3: Cross multiply
    89,971,820,337x = 187,390,555,321.50 × 187,390,555,321.50
  4. Step 4: Simplify right side
    89,971,820,337x = 35,115,220,223,700,152,352,768
  5. Step 5: Solve for x
    x = 35,115,220,223,700,152,352,768/89,971,820,337
  6. Step 6: Final answer
    x = 390,291,316,683.07

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