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Finding the Third Proportional to 105,919,543 and 228,559,776

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Solution

The third proportional to 105,919,543 and 228,559,776 is: 493,200,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919,543 : 228,559,776 = 228,559,776 : x
  2. Step 2: Convert to fraction form
    105,919,543/228,559,776 = 228,559,776/x
  3. Step 3: Cross multiply
    105,919,543x = 228,559,776 × 228,559,776
  4. Step 4: Simplify right side
    105,919,543x = 52,239,571,205,170,176
  5. Step 5: Solve for x
    x = 52,239,571,205,170,176/105,919,543
  6. Step 6: Final answer
    x = 493,200,496.58

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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.