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Finding the Third Proportional to 83,602,395 and 174,827,646

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Solution

The third proportional to 83,602,395 and 174,827,646 is: 365,596,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,395 : 174,827,646 = 174,827,646 : x
  2. Step 2: Convert to fraction form
    83,602,395/174,827,646 = 174,827,646/x
  3. Step 3: Cross multiply
    83,602,395x = 174,827,646 × 174,827,646
  4. Step 4: Simplify right side
    83,602,395x = 30,564,705,805,901,316
  5. Step 5: Solve for x
    x = 30,564,705,805,901,316/83,602,395
  6. Step 6: Final answer
    x = 365,596,055.06

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.