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Finding the Third Proportional to 164,805,209,063 and 353,456,087,629

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Solution

The third proportional to 164,805,209,063 and 353,456,087,629 is: 758,053,744,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,805,209,063 : 353,456,087,629 = 353,456,087,629 : x
  2. Step 2: Convert to fraction form
    164,805,209,063/353,456,087,629 = 353,456,087,629/x
  3. Step 3: Cross multiply
    164,805,209,063x = 353,456,087,629 × 353,456,087,629
  4. Step 4: Simplify right side
    164,805,209,063x = 124,931,205,881,999,331,950,592
  5. Step 5: Solve for x
    x = 124,931,205,881,999,331,950,592/164,805,209,063
  6. Step 6: Final answer
    x = 758,053,744,734.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.