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Finding the Third Proportional to 94,385,316,932 and 202,233,495,796

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Solution

The third proportional to 94,385,316,932 and 202,233,495,796 is: 433,313,021,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,385,316,932 : 202,233,495,796 = 202,233,495,796 : x
  2. Step 2: Convert to fraction form
    94,385,316,932/202,233,495,796 = 202,233,495,796/x
  3. Step 3: Cross multiply
    94,385,316,932x = 202,233,495,796 × 202,233,495,796
  4. Step 4: Simplify right side
    94,385,316,932x = 40,898,386,821,870,746,861,568
  5. Step 5: Solve for x
    x = 40,898,386,821,870,746,861,568/94,385,316,932
  6. Step 6: Final answer
    x = 433,313,021,042.63

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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.