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Finding the Third Proportional to 145,521,195,333 and 316,666,870,398

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Solution

The third proportional to 145,521,195,333 and 316,666,870,398 is: 689,094,853,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,521,195,333 : 316,666,870,398 = 316,666,870,398 : x
  2. Step 2: Convert to fraction form
    145,521,195,333/316,666,870,398 = 316,666,870,398/x
  3. Step 3: Cross multiply
    145,521,195,333x = 316,666,870,398 × 316,666,870,398
  4. Step 4: Simplify right side
    145,521,195,333x = 100,277,906,807,663,731,146,752
  5. Step 5: Solve for x
    x = 100,277,906,807,663,731,146,752/145,521,195,333
  6. Step 6: Final answer
    x = 689,094,853,696.02

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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.