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Finding the Third Proportional to 99,349,723,651 and 216,680,701,709

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Solution

The third proportional to 99,349,723,651 and 216,680,701,709 is: 472,578,330,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,349,723,651 : 216,680,701,709 = 216,680,701,709 : x
  2. Step 2: Convert to fraction form
    99,349,723,651/216,680,701,709 = 216,680,701,709/x
  3. Step 3: Cross multiply
    99,349,723,651x = 216,680,701,709 × 216,680,701,709
  4. Step 4: Simplify right side
    99,349,723,651x = 46,950,526,493,104,638,263,296
  5. Step 5: Solve for x
    x = 46,950,526,493,104,638,263,296/99,349,723,651
  6. Step 6: Final answer
    x = 472,578,330,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.