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Finding the Third Proportional to 205,326,238,410 and 301,838,678,982

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Solution

The third proportional to 205,326,238,410 and 301,838,678,982 is: 443,716,248,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326,238,410 : 301,838,678,982 = 301,838,678,982 : x
  2. Step 2: Convert to fraction form
    205,326,238,410/301,838,678,982 = 301,838,678,982/x
  3. Step 3: Cross multiply
    205,326,238,410x = 301,838,678,982 × 301,838,678,982
  4. Step 4: Simplify right side
    205,326,238,410x = 91,106,588,129,598,856,232,960
  5. Step 5: Solve for x
    x = 91,106,588,129,598,856,232,960/205,326,238,410
  6. Step 6: Final answer
    x = 443,716,248,030.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.