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Finding the Third Proportional to 93,114,020 and 219,495,640

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Solution

The third proportional to 93,114,020 and 219,495,640 is: 517,412,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,114,020 : 219,495,640 = 219,495,640 : x
  2. Step 2: Convert to fraction form
    93,114,020/219,495,640 = 219,495,640/x
  3. Step 3: Cross multiply
    93,114,020x = 219,495,640 × 219,495,640
  4. Step 4: Simplify right side
    93,114,020x = 48,178,335,979,009,600
  5. Step 5: Solve for x
    x = 48,178,335,979,009,600/93,114,020
  6. Step 6: Final answer
    x = 517,412,264.87

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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.