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Finding the Third Proportional to 133,218,686,468 and 290,849,396,962

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Solution

The third proportional to 133,218,686,468 and 290,849,396,962 is: 634,996,290,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218,686,468 : 290,849,396,962 = 290,849,396,962 : x
  2. Step 2: Convert to fraction form
    133,218,686,468/290,849,396,962 = 290,849,396,962/x
  3. Step 3: Cross multiply
    133,218,686,468x = 290,849,396,962 × 290,849,396,962
  4. Step 4: Simplify right side
    133,218,686,468x = 84,593,371,713,159,055,802,368
  5. Step 5: Solve for x
    x = 84,593,371,713,159,055,802,368/133,218,686,468
  6. Step 6: Final answer
    x = 634,996,290,355.10

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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.