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Finding the Third Proportional to 103,046,506 and 222,235,066

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Solution

The third proportional to 103,046,506 and 222,235,066 is: 479,282,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,506 : 222,235,066 = 222,235,066 : x
  2. Step 2: Convert to fraction form
    103,046,506/222,235,066 = 222,235,066/x
  3. Step 3: Cross multiply
    103,046,506x = 222,235,066 × 222,235,066
  4. Step 4: Simplify right side
    103,046,506x = 49,388,424,560,024,352
  5. Step 5: Solve for x
    x = 49,388,424,560,024,352/103,046,506
  6. Step 6: Final answer
    x = 479,282,864.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.