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Finding the Third Proportional to 105,805,237,152 and 228,441,788,160

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Solution

The third proportional to 105,805,237,152 and 228,441,788,160 is: 493,223,700,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805,237,152 : 228,441,788,160 = 228,441,788,160 : x
  2. Step 2: Convert to fraction form
    105,805,237,152/228,441,788,160 = 228,441,788,160/x
  3. Step 3: Cross multiply
    105,805,237,152x = 228,441,788,160 × 228,441,788,160
  4. Step 4: Simplify right side
    105,805,237,152x = 52,185,650,577,738,318,217,216
  5. Step 5: Solve for x
    x = 52,185,650,577,738,318,217,216/105,805,237,152
  6. Step 6: Final answer
    x = 493,223,700,285.92

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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.