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Finding the Third Proportional to 106,369,047 and 232,916,247

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Solution

The third proportional to 106,369,047 and 232,916,247 is: 510,016,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369,047 : 232,916,247 = 232,916,247 : x
  2. Step 2: Convert to fraction form
    106,369,047/232,916,247 = 232,916,247/x
  3. Step 3: Cross multiply
    106,369,047x = 232,916,247 × 232,916,247
  4. Step 4: Simplify right side
    106,369,047x = 54,249,978,116,565,008
  5. Step 5: Solve for x
    x = 54,249,978,116,565,008/106,369,047
  6. Step 6: Final answer
    x = 510,016,585.15

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Why These Related Problems?

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