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Finding the Third Proportional to 148,925,526,808 and 208,971,995,370

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Solution

The third proportional to 148,925,526,808 and 208,971,995,370 is: 293,229,077,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,925,526,808 : 208,971,995,370 = 208,971,995,370 : x
  2. Step 2: Convert to fraction form
    148,925,526,808/208,971,995,370 = 208,971,995,370/x
  3. Step 3: Cross multiply
    148,925,526,808x = 208,971,995,370 × 208,971,995,370
  4. Step 4: Simplify right side
    148,925,526,808x = 43,669,294,848,919,300,210,688
  5. Step 5: Solve for x
    x = 43,669,294,848,919,300,210,688/148,925,526,808
  6. Step 6: Final answer
    x = 293,229,077,545.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.