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Finding the Third Proportional to 97,128,806,616 and 216,590,674,032

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Solution

The third proportional to 97,128,806,616 and 216,590,674,032 is: 482,982,564,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,128,806,616 : 216,590,674,032 = 216,590,674,032 : x
  2. Step 2: Convert to fraction form
    97,128,806,616/216,590,674,032 = 216,590,674,032/x
  3. Step 3: Cross multiply
    97,128,806,616x = 216,590,674,032 × 216,590,674,032
  4. Step 4: Simplify right side
    97,128,806,616x = 46,911,520,077,636,075,257,856
  5. Step 5: Solve for x
    x = 46,911,520,077,636,075,257,856/97,128,806,616
  6. Step 6: Final answer
    x = 482,982,564,205.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.