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Finding the Third Proportional to 186,876,266 and 402,506,902

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Solution

The third proportional to 186,876,266 and 402,506,902 is: 866,946,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,876,266 : 402,506,902 = 402,506,902 : x
  2. Step 2: Convert to fraction form
    186,876,266/402,506,902 = 402,506,902/x
  3. Step 3: Cross multiply
    186,876,266x = 402,506,902 × 402,506,902
  4. Step 4: Simplify right side
    186,876,266x = 162,011,806,157,637,600
  5. Step 5: Solve for x
    x = 162,011,806,157,637,600/186,876,266
  6. Step 6: Final answer
    x = 866,946,935.67

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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.