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Finding the Third Proportional to 97,297,808 and 211,531,312

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Solution

The third proportional to 97,297,808 and 211,531,312 is: 459,881,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,297,808 : 211,531,312 = 211,531,312 : x
  2. Step 2: Convert to fraction form
    97,297,808/211,531,312 = 211,531,312/x
  3. Step 3: Cross multiply
    97,297,808x = 211,531,312 × 211,531,312
  4. Step 4: Simplify right side
    97,297,808x = 44,745,495,956,441,344
  5. Step 5: Solve for x
    x = 44,745,495,956,441,344/97,297,808
  6. Step 6: Final answer
    x = 459,881,850.13

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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.