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Finding the Third Proportional to 97,700,733,506 and 211,624,788,556

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Solution

The third proportional to 97,700,733,506 and 211,624,788,556 is: 458,390,121,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,700,733,506 : 211,624,788,556 = 211,624,788,556 : x
  2. Step 2: Convert to fraction form
    97,700,733,506/211,624,788,556 = 211,624,788,556/x
  3. Step 3: Cross multiply
    97,700,733,506x = 211,624,788,556 × 211,624,788,556
  4. Step 4: Simplify right side
    97,700,733,506x = 44,785,051,131,371,705,073,664
  5. Step 5: Solve for x
    x = 44,785,051,131,371,705,073,664/97,700,733,506
  6. Step 6: Final answer
    x = 458,390,121,795.98

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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.