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Finding the Third Proportional to 303,359,689 and 458,227,621.50

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Solution

The third proportional to 303,359,689 and 458,227,621.50 is: 692,157,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,359,689 : 458,227,621.50 = 458,227,621.50 : x
  2. Step 2: Convert to fraction form
    303,359,689/458,227,621.50 = 458,227,621.50/x
  3. Step 3: Cross multiply
    303,359,689x = 458,227,621.50 × 458,227,621.50
  4. Step 4: Simplify right side
    303,359,689x = 209,972,553,105,547,264
  5. Step 5: Solve for x
    x = 209,972,553,105,547,264/303,359,689
  6. Step 6: Final answer
    x = 692,157,068.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.