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Finding the Third Proportional to 145,946,714 and 317,296,972

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Solution

The third proportional to 145,946,714 and 317,296,972 is: 689,822,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,946,714 : 317,296,972 = 317,296,972 : x
  2. Step 2: Convert to fraction form
    145,946,714/317,296,972 = 317,296,972/x
  3. Step 3: Cross multiply
    145,946,714x = 317,296,972 × 317,296,972
  4. Step 4: Simplify right side
    145,946,714x = 100,677,368,440,368,784
  5. Step 5: Solve for x
    x = 100,677,368,440,368,784/145,946,714
  6. Step 6: Final answer
    x = 689,822,783.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.