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Finding the Third Proportional to 209,506,506 and 493,865,004

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Solution

The third proportional to 209,506,506 and 493,865,004 is: 1,164,176,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506,506 : 493,865,004 = 493,865,004 : x
  2. Step 2: Convert to fraction form
    209,506,506/493,865,004 = 493,865,004/x
  3. Step 3: Cross multiply
    209,506,506x = 493,865,004 × 493,865,004
  4. Step 4: Simplify right side
    209,506,506x = 243,902,642,175,920,000
  5. Step 5: Solve for x
    x = 243,902,642,175,920,000/209,506,506
  6. Step 6: Final answer
    x = 1,164,176,935.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.