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Finding the Third Proportional to 97,700,733,504 and 211,624,788,552

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Solution

The third proportional to 97,700,733,504 and 211,624,788,552 is: 458,390,121,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,700,733,504 : 211,624,788,552 = 211,624,788,552 : x
  2. Step 2: Convert to fraction form
    97,700,733,504/211,624,788,552 = 211,624,788,552/x
  3. Step 3: Cross multiply
    97,700,733,504x = 211,624,788,552 × 211,624,788,552
  4. Step 4: Simplify right side
    97,700,733,504x = 44,785,051,129,678,707,818,496
  5. Step 5: Solve for x
    x = 44,785,051,129,678,707,818,496/97,700,733,504
  6. Step 6: Final answer
    x = 458,390,121,788.03

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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.