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Finding the Third Proportional to 105,805,237,154 and 228,441,788,164

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Solution

The third proportional to 105,805,237,154 and 228,441,788,164 is: 493,223,700,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805,237,154 : 228,441,788,164 = 228,441,788,164 : x
  2. Step 2: Convert to fraction form
    105,805,237,154/228,441,788,164 = 228,441,788,164/x
  3. Step 3: Cross multiply
    105,805,237,154x = 228,441,788,164 × 228,441,788,164
  4. Step 4: Simplify right side
    105,805,237,154x = 52,185,650,579,565,851,967,488
  5. Step 5: Solve for x
    x = 52,185,650,579,565,851,967,488/105,805,237,154
  6. Step 6: Final answer
    x = 493,223,700,293.87

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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.