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Finding the Third Proportional to 208,115,457,852.75 and 331,152,605,641.88

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Solution

The third proportional to 208,115,457,852.75 and 331,152,605,641.88 is: 526,928,894,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115,457,852.75 : 331,152,605,641.88 = 331,152,605,641.88 : x
  2. Step 2: Convert to fraction form
    208,115,457,852.75/331,152,605,641.88 = 331,152,605,641.88/x
  3. Step 3: Cross multiply
    208,115,457,852.75x = 331,152,605,641.88 × 331,152,605,641.88
  4. Step 4: Simplify right side
    208,115,457,852.75x = 109,662,048,223,406,499,823,616
  5. Step 5: Solve for x
    x = 109,662,048,223,406,499,823,616/208,115,457,852.75
  6. Step 6: Final answer
    x = 526,928,894,926.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.