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Finding the Third Proportional to 130,771,312 and 282,345,512

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Solution

The third proportional to 130,771,312 and 282,345,512 is: 609,606,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,771,312 : 282,345,512 = 282,345,512 : x
  2. Step 2: Convert to fraction form
    130,771,312/282,345,512 = 282,345,512/x
  3. Step 3: Cross multiply
    130,771,312x = 282,345,512 × 282,345,512
  4. Step 4: Simplify right side
    130,771,312x = 79,718,988,146,542,144
  5. Step 5: Solve for x
    x = 79,718,988,146,542,144/130,771,312
  6. Step 6: Final answer
    x = 609,606,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.