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Finding the Third Proportional to 153,350,814 and 330,085,032

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Solution

The third proportional to 153,350,814 and 330,085,032 is: 710,502,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,350,814 : 330,085,032 = 330,085,032 : x
  2. Step 2: Convert to fraction form
    153,350,814/330,085,032 = 330,085,032/x
  3. Step 3: Cross multiply
    153,350,814x = 330,085,032 × 330,085,032
  4. Step 4: Simplify right side
    153,350,814x = 108,956,128,350,441,024
  5. Step 5: Solve for x
    x = 108,956,128,350,441,024/153,350,814
  6. Step 6: Final answer
    x = 710,502,445.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.