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Finding the Third Proportional to 94,623,426,413 and 203,598,242,719

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Solution

The third proportional to 94,623,426,413 and 203,598,242,719 is: 438,075,918,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,623,426,413 : 203,598,242,719 = 203,598,242,719 : x
  2. Step 2: Convert to fraction form
    94,623,426,413/203,598,242,719 = 203,598,242,719/x
  3. Step 3: Cross multiply
    94,623,426,413x = 203,598,242,719 × 203,598,242,719
  4. Step 4: Simplify right side
    94,623,426,413x = 41,452,244,438,264,840,192,000
  5. Step 5: Solve for x
    x = 41,452,244,438,264,840,192,000/94,623,426,413
  6. Step 6: Final answer
    x = 438,075,918,508.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.