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Finding the Third Proportional to 176,196,370 and 386,275,220

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Solution

The third proportional to 176,196,370 and 386,275,220 is: 846,830,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196,370 : 386,275,220 = 386,275,220 : x
  2. Step 2: Convert to fraction form
    176,196,370/386,275,220 = 386,275,220/x
  3. Step 3: Cross multiply
    176,196,370x = 386,275,220 × 386,275,220
  4. Step 4: Simplify right side
    176,196,370x = 149,208,545,586,048,384
  5. Step 5: Solve for x
    x = 149,208,545,586,048,384/176,196,370
  6. Step 6: Final answer
    x = 846,830,985.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.