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Finding the Third Proportional to 161,788,246 and 228,925,409

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Solution

The third proportional to 161,788,246 and 228,925,409 is: 323,922,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,788,246 : 228,925,409 = 228,925,409 : x
  2. Step 2: Convert to fraction form
    161,788,246/228,925,409 = 228,925,409/x
  3. Step 3: Cross multiply
    161,788,246x = 228,925,409 × 228,925,409
  4. Step 4: Simplify right side
    161,788,246x = 52,406,842,885,817,280
  5. Step 5: Solve for x
    x = 52,406,842,885,817,280/161,788,246
  6. Step 6: Final answer
    x = 323,922,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.