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Finding the Third Proportional to 144,841,495 and 310,392,781

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Solution

The third proportional to 144,841,495 and 310,392,781 is: 665,166,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,841,495 : 310,392,781 = 310,392,781 : x
  2. Step 2: Convert to fraction form
    144,841,495/310,392,781 = 310,392,781/x
  3. Step 3: Cross multiply
    144,841,495x = 310,392,781 × 310,392,781
  4. Step 4: Simplify right side
    144,841,495x = 96,343,678,496,913,968
  5. Step 5: Solve for x
    x = 96,343,678,496,913,968/144,841,495
  6. Step 6: Final answer
    x = 665,166,280.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.