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Finding the Third Proportional to 233,637,925.50 and 363,200,301

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Solution

The third proportional to 233,637,925.50 and 363,200,301 is: 564,610,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,637,925.50 : 363,200,301 = 363,200,301 : x
  2. Step 2: Convert to fraction form
    233,637,925.50/363,200,301 = 363,200,301/x
  3. Step 3: Cross multiply
    233,637,925.50x = 363,200,301 × 363,200,301
  4. Step 4: Simplify right side
    233,637,925.50x = 131,914,458,646,490,608
  5. Step 5: Solve for x
    x = 131,914,458,646,490,608/233,637,925.50
  6. Step 6: Final answer
    x = 564,610,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.