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Finding the Third Proportional to 106,778,232 and 229,652,784

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Solution

The third proportional to 106,778,232 and 229,652,784 is: 493,924,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,778,232 : 229,652,784 = 229,652,784 : x
  2. Step 2: Convert to fraction form
    106,778,232/229,652,784 = 229,652,784/x
  3. Step 3: Cross multiply
    106,778,232x = 229,652,784 × 229,652,784
  4. Step 4: Simplify right side
    106,778,232x = 52,740,401,198,950,656
  5. Step 5: Solve for x
    x = 52,740,401,198,950,656/106,778,232
  6. Step 6: Final answer
    x = 493,924,653.10

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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.