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Finding the Third Proportional to 97,710,349 and 148,857,886

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Solution

The third proportional to 97,710,349 and 148,857,886 is: 226,779,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710,349 : 148,857,886 = 148,857,886 : x
  2. Step 2: Convert to fraction form
    97,710,349/148,857,886 = 148,857,886/x
  3. Step 3: Cross multiply
    97,710,349x = 148,857,886 × 148,857,886
  4. Step 4: Simplify right side
    97,710,349x = 22,158,670,224,388,996
  5. Step 5: Solve for x
    x = 22,158,670,224,388,996/97,710,349
  6. Step 6: Final answer
    x = 226,779,153.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.