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Finding the Third Proportional to 130,055,884 and 213,506,304

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Solution

The third proportional to 130,055,884 and 213,506,304 is: 350,502,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,055,884 : 213,506,304 = 213,506,304 : x
  2. Step 2: Convert to fraction form
    130,055,884/213,506,304 = 213,506,304/x
  3. Step 3: Cross multiply
    130,055,884x = 213,506,304 × 213,506,304
  4. Step 4: Simplify right side
    130,055,884x = 45,584,941,847,740,416
  5. Step 5: Solve for x
    x = 45,584,941,847,740,416/130,055,884
  6. Step 6: Final answer
    x = 350,502,725.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.