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Finding the Third Proportional to 106,223,802.50 and 228,590,123

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Solution

The third proportional to 106,223,802.50 and 228,590,123 is: 491,918,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,223,802.50 : 228,590,123 = 228,590,123 : x
  2. Step 2: Convert to fraction form
    106,223,802.50/228,590,123 = 228,590,123/x
  3. Step 3: Cross multiply
    106,223,802.50x = 228,590,123 × 228,590,123
  4. Step 4: Simplify right side
    106,223,802.50x = 52,253,444,333,155,128
  5. Step 5: Solve for x
    x = 52,253,444,333,155,128/106,223,802.50
  6. Step 6: Final answer
    x = 491,918,412.85

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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.