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Finding the Third Proportional to 99,421,108,772 and 218,090,656,216

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Solution

The third proportional to 99,421,108,772 and 218,090,656,216 is: 478,404,786,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421,108,772 : 218,090,656,216 = 218,090,656,216 : x
  2. Step 2: Convert to fraction form
    99,421,108,772/218,090,656,216 = 218,090,656,216/x
  3. Step 3: Cross multiply
    99,421,108,772x = 218,090,656,216 × 218,090,656,216
  4. Step 4: Simplify right side
    99,421,108,772x = 47,563,534,328,725,499,805,696
  5. Step 5: Solve for x
    x = 47,563,534,328,725,499,805,696/99,421,108,772
  6. Step 6: Final answer
    x = 478,404,786,631.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.