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Finding the Third Proportional to 99,525,371,106 and 219,337,182,189

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Solution

The third proportional to 99,525,371,106 and 219,337,182,189 is: 483,382,266,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525,371,106 : 219,337,182,189 = 219,337,182,189 : x
  2. Step 2: Convert to fraction form
    99,525,371,106/219,337,182,189 = 219,337,182,189/x
  3. Step 3: Cross multiply
    99,525,371,106x = 219,337,182,189 × 219,337,182,189
  4. Step 4: Simplify right side
    99,525,371,106x = 48,108,799,490,610,578,849,792
  5. Step 5: Solve for x
    x = 48,108,799,490,610,578,849,792/99,525,371,106
  6. Step 6: Final answer
    x = 483,382,266,812.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.