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Finding the Third Proportional to 105,805,237,156 and 228,441,788,168

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Solution

The third proportional to 105,805,237,156 and 228,441,788,168 is: 493,223,700,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805,237,156 : 228,441,788,168 = 228,441,788,168 : x
  2. Step 2: Convert to fraction form
    105,805,237,156/228,441,788,168 = 228,441,788,168/x
  3. Step 3: Cross multiply
    105,805,237,156x = 228,441,788,168 × 228,441,788,168
  4. Step 4: Simplify right side
    105,805,237,156x = 52,185,650,581,393,385,717,760
  5. Step 5: Solve for x
    x = 52,185,650,581,393,385,717,760/105,805,237,156
  6. Step 6: Final answer
    x = 493,223,700,301.82

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