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Finding the Third Proportional to 93,114,009 and 219,495,574

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Solution

The third proportional to 93,114,009 and 219,495,574 is: 517,412,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,114,009 : 219,495,574 = 219,495,574 : x
  2. Step 2: Convert to fraction form
    93,114,009/219,495,574 = 219,495,574/x
  3. Step 3: Cross multiply
    93,114,009x = 219,495,574 × 219,495,574
  4. Step 4: Simplify right side
    93,114,009x = 48,178,307,005,589,472
  5. Step 5: Solve for x
    x = 48,178,307,005,589,472/93,114,009
  6. Step 6: Final answer
    x = 517,412,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.