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Finding the Third Proportional to 97,765,371 and 212,345,878.50

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Solution

The third proportional to 97,765,371 and 212,345,878.50 is: 461,214,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765,371 : 212,345,878.50 = 212,345,878.50 : x
  2. Step 2: Convert to fraction form
    97,765,371/212,345,878.50 = 212,345,878.50/x
  3. Step 3: Cross multiply
    97,765,371x = 212,345,878.50 × 212,345,878.50
  4. Step 4: Simplify right side
    97,765,371x = 45,090,772,115,936,760
  5. Step 5: Solve for x
    x = 45,090,772,115,936,760/97,765,371
  6. Step 6: Final answer
    x = 461,214,146.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.