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Finding the Third Proportional to 128,960,106 and 272,475,732

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Solution

The third proportional to 128,960,106 and 272,475,732 is: 575,705,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,960,106 : 272,475,732 = 272,475,732 : x
  2. Step 2: Convert to fraction form
    128,960,106/272,475,732 = 272,475,732/x
  3. Step 3: Cross multiply
    128,960,106x = 272,475,732 × 272,475,732
  4. Step 4: Simplify right side
    128,960,106x = 74,243,024,528,935,824
  5. Step 5: Solve for x
    x = 74,243,024,528,935,824/128,960,106
  6. Step 6: Final answer
    x = 575,705,362.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.