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Finding the Third Proportional to 97,426,465 and 212,003,915

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Solution

The third proportional to 97,426,465 and 212,003,915 is: 461,329,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426,465 : 212,003,915 = 212,003,915 : x
  2. Step 2: Convert to fraction form
    97,426,465/212,003,915 = 212,003,915/x
  3. Step 3: Cross multiply
    97,426,465x = 212,003,915 × 212,003,915
  4. Step 4: Simplify right side
    97,426,465x = 44,945,659,975,327,224
  5. Step 5: Solve for x
    x = 44,945,659,975,327,224/97,426,465
  6. Step 6: Final answer
    x = 461,329,064.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.