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Finding the Third Proportional to 212,941,746,588 and 330,776,936,205

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Solution

The third proportional to 212,941,746,588 and 330,776,936,205 is: 513,818,371,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,941,746,588 : 330,776,936,205 = 330,776,936,205 : x
  2. Step 2: Convert to fraction form
    212,941,746,588/330,776,936,205 = 330,776,936,205/x
  3. Step 3: Cross multiply
    212,941,746,588x = 330,776,936,205 × 330,776,936,205
  4. Step 4: Simplify right side
    212,941,746,588x = 109,413,381,525,166,641,643,520
  5. Step 5: Solve for x
    x = 109,413,381,525,166,641,643,520/212,941,746,588
  6. Step 6: Final answer
    x = 513,818,371,823.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.