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Finding the Third Proportional to 97,426,490 and 212,003,972

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Solution

The third proportional to 97,426,490 and 212,003,972 is: 461,329,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426,490 : 212,003,972 = 212,003,972 : x
  2. Step 2: Convert to fraction form
    97,426,490/212,003,972 = 212,003,972/x
  3. Step 3: Cross multiply
    97,426,490x = 212,003,972 × 212,003,972
  4. Step 4: Simplify right side
    97,426,490x = 44,945,684,143,776,784
  5. Step 5: Solve for x
    x = 44,945,684,143,776,784/97,426,490
  6. Step 6: Final answer
    x = 461,329,194.39

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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.