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Finding the Third Proportional to 232,605,064 and 507,459,696

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Solution

The third proportional to 232,605,064 and 507,459,696 is: 1,107,092,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,605,064 : 507,459,696 = 507,459,696 : x
  2. Step 2: Convert to fraction form
    232,605,064/507,459,696 = 507,459,696/x
  3. Step 3: Cross multiply
    232,605,064x = 507,459,696 × 507,459,696
  4. Step 4: Simplify right side
    232,605,064x = 257,515,343,064,412,416
  5. Step 5: Solve for x
    x = 257,515,343,064,412,416/232,605,064
  6. Step 6: Final answer
    x = 1,107,092,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.