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Finding the Third Proportional to 156,564,468 and 333,284,328

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Solution

The third proportional to 156,564,468 and 333,284,328 is: 709,474,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564,468 : 333,284,328 = 333,284,328 : x
  2. Step 2: Convert to fraction form
    156,564,468/333,284,328 = 333,284,328/x
  3. Step 3: Cross multiply
    156,564,468x = 333,284,328 × 333,284,328
  4. Step 4: Simplify right side
    156,564,468x = 111,078,443,290,411,584
  5. Step 5: Solve for x
    x = 111,078,443,290,411,584/156,564,468
  6. Step 6: Final answer
    x = 709,474,152.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.