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Finding the Third Proportional to 232,604,808 and 507,459,192

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Solution

The third proportional to 232,604,808 and 507,459,192 is: 1,107,091,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,604,808 : 507,459,192 = 507,459,192 : x
  2. Step 2: Convert to fraction form
    232,604,808/507,459,192 = 507,459,192/x
  3. Step 3: Cross multiply
    232,604,808x = 507,459,192 × 507,459,192
  4. Step 4: Simplify right side
    232,604,808x = 257,514,831,545,292,864
  5. Step 5: Solve for x
    x = 257,514,831,545,292,864/232,604,808
  6. Step 6: Final answer
    x = 1,107,091,610.70

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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.