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Finding the Third Proportional to 97,662,346,083 and 209,455,459,281

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Solution

The third proportional to 97,662,346,083 and 209,455,459,281 is: 449,217,033,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662,346,083 : 209,455,459,281 = 209,455,459,281 : x
  2. Step 2: Convert to fraction form
    97,662,346,083/209,455,459,281 = 209,455,459,281/x
  3. Step 3: Cross multiply
    97,662,346,083x = 209,455,459,281 × 209,455,459,281
  4. Step 4: Simplify right side
    97,662,346,083x = 43,871,589,422,614,651,600,896
  5. Step 5: Solve for x
    x = 43,871,589,422,614,651,600,896/97,662,346,083
  6. Step 6: Final answer
    x = 449,217,033,812.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.