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Finding the Third Proportional to 148,406,798 and 195,154,275

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Solution

The third proportional to 148,406,798 and 195,154,275 is: 256,626,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,406,798 : 195,154,275 = 195,154,275 : x
  2. Step 2: Convert to fraction form
    148,406,798/195,154,275 = 195,154,275/x
  3. Step 3: Cross multiply
    148,406,798x = 195,154,275 × 195,154,275
  4. Step 4: Simplify right side
    148,406,798x = 38,085,191,050,775,624
  5. Step 5: Solve for x
    x = 38,085,191,050,775,624/148,406,798
  6. Step 6: Final answer
    x = 256,626,997.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.